diff --git a/Userland/Libraries/LibAudio/FlacLoader.cpp b/Userland/Libraries/LibAudio/FlacLoader.cpp
index d7606d98ce5..b45238aa927 100644
--- a/Userland/Libraries/LibAudio/FlacLoader.cpp
+++ b/Userland/Libraries/LibAudio/FlacLoader.cpp
@@ -60,7 +60,7 @@ MaybeLoaderError FlacLoaderPlugin::initialize()
 // 11.5 STREAM
 MaybeLoaderError FlacLoaderPlugin::parse_header()
 {
-    auto bit_input = LOADER_TRY(BigEndianInputBitStream::construct(*m_stream));
+    auto bit_input = LOADER_TRY(BigEndianInputBitStream::construct(Core::Stream::Handle<Core::Stream::Stream>(*m_stream)));
 
     // A mixture of VERIFY and the non-crashing TRY().
 #define FLAC_VERIFY(check, category, msg)                                                                                                     \
@@ -79,7 +79,7 @@ MaybeLoaderError FlacLoaderPlugin::parse_header()
     auto streaminfo = TRY(next_meta_block(*bit_input));
     FLAC_VERIFY(streaminfo.type == FlacMetadataBlockType::STREAMINFO, LoaderError::Category::Format, "First block must be STREAMINFO");
     auto streaminfo_data_memory = LOADER_TRY(Core::Stream::MemoryStream::construct(streaminfo.data.bytes()));
-    auto streaminfo_data = LOADER_TRY(BigEndianInputBitStream::construct(*streaminfo_data_memory));
+    auto streaminfo_data = LOADER_TRY(BigEndianInputBitStream::construct(Core::Stream::Handle<Core::Stream::Stream>(*streaminfo_data_memory)));
 
     // 11.10 METADATA_BLOCK_STREAMINFO
     m_min_block_size = LOADER_TRY(streaminfo_data->read_bits<u16>(16));
@@ -150,7 +150,7 @@ MaybeLoaderError FlacLoaderPlugin::parse_header()
 MaybeLoaderError FlacLoaderPlugin::load_picture(FlacRawMetadataBlock& block)
 {
     auto memory_stream = LOADER_TRY(Core::Stream::MemoryStream::construct(block.data.bytes()));
-    auto picture_block_bytes = LOADER_TRY(BigEndianInputBitStream::construct(*memory_stream));
+    auto picture_block_bytes = LOADER_TRY(BigEndianInputBitStream::construct(Core::Stream::Handle<Core::Stream::Stream>(*memory_stream)));
 
     PictureData picture {};
 
@@ -187,7 +187,7 @@ MaybeLoaderError FlacLoaderPlugin::load_picture(FlacRawMetadataBlock& block)
 MaybeLoaderError FlacLoaderPlugin::load_seektable(FlacRawMetadataBlock& block)
 {
     auto memory_stream = LOADER_TRY(Core::Stream::MemoryStream::construct(block.data.bytes()));
-    auto seektable_bytes = LOADER_TRY(BigEndianInputBitStream::construct(*memory_stream));
+    auto seektable_bytes = LOADER_TRY(BigEndianInputBitStream::construct(Core::Stream::Handle<Core::Stream::Stream>(*memory_stream)));
     for (size_t i = 0; i < block.length / 18; ++i) {
         // 11.14. SEEKPOINT
         FlacSeekPoint seekpoint {
@@ -333,7 +333,7 @@ MaybeLoaderError FlacLoaderPlugin::next_frame(Span<Sample> target_vector)
         }                                                                                                                                         \
     } while (0)
 
-    auto bit_stream = LOADER_TRY(BigEndianInputBitStream::construct(*m_stream));
+    auto bit_stream = LOADER_TRY(BigEndianInputBitStream::construct(Core::Stream::Handle<Core::Stream::Stream>(*m_stream)));
 
     // TODO: Check the CRC-16 checksum (and others) by keeping track of read data
 
diff --git a/Userland/Libraries/LibAudio/MP3Loader.cpp b/Userland/Libraries/LibAudio/MP3Loader.cpp
index 3a28074c0e6..229921653c7 100644
--- a/Userland/Libraries/LibAudio/MP3Loader.cpp
+++ b/Userland/Libraries/LibAudio/MP3Loader.cpp
@@ -41,7 +41,7 @@ Result<NonnullOwnPtr<MP3LoaderPlugin>, LoaderError> MP3LoaderPlugin::try_create(
 
 MaybeLoaderError MP3LoaderPlugin::initialize()
 {
-    m_bitstream = LOADER_TRY(Core::Stream::BigEndianInputBitStream::construct(*m_stream));
+    m_bitstream = LOADER_TRY(Core::Stream::BigEndianInputBitStream::construct(Core::Stream::Handle<Core::Stream::Stream>(*m_stream)));
 
     TRY(synchronize());
 
diff --git a/Userland/Libraries/LibCompress/Brotli.cpp b/Userland/Libraries/LibCompress/Brotli.cpp
index 16344f09469..00d2e7c3c03 100644
--- a/Userland/Libraries/LibCompress/Brotli.cpp
+++ b/Userland/Libraries/LibCompress/Brotli.cpp
@@ -29,7 +29,7 @@ ErrorOr<size_t> BrotliDecompressionStream::CanonicalCode::read_symbol(LittleEndi
 }
 
 BrotliDecompressionStream::BrotliDecompressionStream(Stream& stream)
-    : m_input_stream(stream)
+    : m_input_stream(Core::Stream::Handle(stream))
 {
 }
 
diff --git a/Userland/Libraries/LibCore/InputBitStream.h b/Userland/Libraries/LibCore/InputBitStream.h
index 3cd9615a68b..f78877508a5 100644
--- a/Userland/Libraries/LibCore/InputBitStream.h
+++ b/Userland/Libraries/LibCore/InputBitStream.h
@@ -21,12 +21,11 @@ namespace Core::Stream {
 
 /// A stream wrapper class that allows you to read arbitrary amounts of bits
 /// in big-endian order from another stream.
-/// Note that this stream does not own its underlying stream, it merely takes a reference.
 class BigEndianInputBitStream : public Stream {
 public:
-    static ErrorOr<NonnullOwnPtr<BigEndianInputBitStream>> construct(Stream& stream)
+    static ErrorOr<NonnullOwnPtr<BigEndianInputBitStream>> construct(Handle<Stream> stream)
     {
-        return adopt_nonnull_own_or_enomem<BigEndianInputBitStream>(new BigEndianInputBitStream(stream));
+        return adopt_nonnull_own_or_enomem<BigEndianInputBitStream>(new BigEndianInputBitStream(move(stream)));
     }
 
     // ^Stream
@@ -34,18 +33,18 @@ public:
     {
         if (m_current_byte.has_value() && is_aligned_to_byte_boundary()) {
             bytes[0] = m_current_byte.release_value();
-            return m_stream.read(bytes.slice(1));
+            return m_stream->read(bytes.slice(1));
         }
         align_to_byte_boundary();
-        return m_stream.read(bytes);
+        return m_stream->read(bytes);
     }
-    virtual ErrorOr<size_t> write(ReadonlyBytes bytes) override { return m_stream.write(bytes); }
-    virtual ErrorOr<void> write_entire_buffer(ReadonlyBytes bytes) override { return m_stream.write_entire_buffer(bytes); }
-    virtual bool is_eof() const override { return m_stream.is_eof() && !m_current_byte.has_value(); }
-    virtual bool is_open() const override { return m_stream.is_open(); }
+    virtual ErrorOr<size_t> write(ReadonlyBytes bytes) override { return m_stream->write(bytes); }
+    virtual ErrorOr<void> write_entire_buffer(ReadonlyBytes bytes) override { return m_stream->write_entire_buffer(bytes); }
+    virtual bool is_eof() const override { return m_stream->is_eof() && !m_current_byte.has_value(); }
+    virtual bool is_open() const override { return m_stream->is_open(); }
     virtual void close() override
     {
-        m_stream.close();
+        m_stream->close();
         align_to_byte_boundary();
     }
 
@@ -98,7 +97,7 @@ public:
                 }
             } else {
                 auto temp_buffer = TRY(ByteBuffer::create_uninitialized(1));
-                TRY(m_stream.read(temp_buffer.bytes()));
+                TRY(m_stream->read(temp_buffer.bytes()));
                 m_current_byte = temp_buffer[0];
                 m_bit_offset = 0;
             }
@@ -119,28 +118,27 @@ public:
     ALWAYS_INLINE bool is_aligned_to_byte_boundary() const { return m_bit_offset == 0; }
 
 private:
-    BigEndianInputBitStream(Stream& stream)
-        : m_stream(stream)
+    BigEndianInputBitStream(Handle<Stream> stream)
+        : m_stream(move(stream))
     {
     }
 
     Optional<u8> m_current_byte;
     size_t m_bit_offset { 0 };
-    Stream& m_stream;
+    Handle<Stream> m_stream;
 };
 
 /// A stream wrapper class that allows you to read arbitrary amounts of bits
 /// in little-endian order from another stream.
-/// Note that this stream does not own its underlying stream, it merely takes a reference.
 class LittleEndianInputBitStream : public Stream {
 public:
-    static ErrorOr<NonnullOwnPtr<LittleEndianInputBitStream>> construct(Stream& stream)
+    static ErrorOr<NonnullOwnPtr<LittleEndianInputBitStream>> construct(Handle<Stream> stream)
     {
-        return adopt_nonnull_own_or_enomem<LittleEndianInputBitStream>(new LittleEndianInputBitStream(stream));
+        return adopt_nonnull_own_or_enomem<LittleEndianInputBitStream>(new LittleEndianInputBitStream(move(stream)));
     }
 
-    LittleEndianInputBitStream(Stream& stream)
-        : m_stream(stream)
+    LittleEndianInputBitStream(Handle<Stream> stream)
+        : m_stream(move(stream))
     {
     }
 
@@ -149,18 +147,18 @@ public:
     {
         if (m_current_byte.has_value() && is_aligned_to_byte_boundary()) {
             bytes[0] = m_current_byte.release_value();
-            return m_stream.read(bytes.slice(1));
+            return m_stream->read(bytes.slice(1));
         }
         align_to_byte_boundary();
-        return m_stream.read(bytes);
+        return m_stream->read(bytes);
     }
-    virtual ErrorOr<size_t> write(ReadonlyBytes bytes) override { return m_stream.write(bytes); }
-    virtual ErrorOr<void> write_entire_buffer(ReadonlyBytes bytes) override { return m_stream.write_entire_buffer(bytes); }
-    virtual bool is_eof() const override { return m_stream.is_eof() && !m_current_byte.has_value(); }
-    virtual bool is_open() const override { return m_stream.is_open(); }
+    virtual ErrorOr<size_t> write(ReadonlyBytes bytes) override { return m_stream->write(bytes); }
+    virtual ErrorOr<void> write_entire_buffer(ReadonlyBytes bytes) override { return m_stream->write_entire_buffer(bytes); }
+    virtual bool is_eof() const override { return m_stream->is_eof() && !m_current_byte.has_value(); }
+    virtual bool is_open() const override { return m_stream->is_open(); }
     virtual void close() override
     {
-        m_stream.close();
+        m_stream->close();
         align_to_byte_boundary();
     }
 
@@ -209,7 +207,7 @@ public:
                 }
             } else {
                 auto temp_buffer = TRY(ByteBuffer::create_uninitialized(1));
-                auto read_bytes = TRY(m_stream.read(temp_buffer.bytes()));
+                auto read_bytes = TRY(m_stream->read(temp_buffer.bytes()));
                 if (read_bytes.is_empty())
                     return Error::from_string_literal("eof");
                 m_current_byte = temp_buffer[0];
@@ -236,7 +234,7 @@ public:
 private:
     Optional<u8> m_current_byte;
     size_t m_bit_offset { 0 };
-    Stream& m_stream;
+    Handle<Stream> m_stream;
 };
 
 }