diff --git a/share/shwap/p2p/bitswap/block.go b/share/shwap/p2p/bitswap/block.go
index 940afb5bc2..ed745ed25d 100644
--- a/share/shwap/p2p/bitswap/block.go
+++ b/share/shwap/p2p/bitswap/block.go
@@ -21,6 +21,10 @@ type Block interface {
 	CID() cid.Cid
 	// Height reports the Height of the Shwap container behind the Block.
 	Height() uint64
+	// Size reports expected size of the Block(without serialization overhead).
+	// Must support getting size when the Block is not populated or empty and strive to
+	// be low overhead.
+	Size(context.Context, eds.Accessor) (int, error)
 
 	// Populate fills up the Block with the Shwap container getting it out of the EDS
 	// Accessor.
diff --git a/share/shwap/p2p/bitswap/block_store.go b/share/shwap/p2p/bitswap/block_store.go
index 910a95c204..2e676b2f3a 100644
--- a/share/shwap/p2p/bitswap/block_store.go
+++ b/share/shwap/p2p/bitswap/block_store.go
@@ -28,19 +28,28 @@ type Blockstore struct {
 	Getter AccessorGetter
 }
 
-func (b *Blockstore) getBlock(ctx context.Context, cid cid.Cid) (blocks.Block, error) {
+func (b *Blockstore) getBlockAndAccessor(ctx context.Context, cid cid.Cid) (Block, eds.AccessorStreamer, error) {
 	blk, err := EmptyBlock(cid)
 	if err != nil {
-		return nil, err
+		return nil, nil, err
 	}
 
 	acc, err := b.Getter.GetByHeight(ctx, blk.Height())
 	if errors.Is(err, store.ErrNotFound) {
 		log.Debugf("no EDS Accessor for height %v found", blk.Height())
-		return nil, ipld.ErrNotFound{Cid: cid}
+		return nil, nil, ipld.ErrNotFound{Cid: cid}
 	}
 	if err != nil {
-		return nil, fmt.Errorf("getting EDS Accessor for height %v: %w", blk.Height(), err)
+		return nil, nil, fmt.Errorf("getting EDS Accessor for height %v: %w", blk.Height(), err)
+	}
+
+	return blk, acc, nil
+}
+
+func (b *Blockstore) Get(ctx context.Context, cid cid.Cid) (blocks.Block, error) {
+	blk, acc, err := b.getBlockAndAccessor(ctx, cid)
+	if err != nil {
+		return nil, err
 	}
 	defer func() {
 		if err := acc.Close(); err != nil {
@@ -55,24 +64,28 @@ func (b *Blockstore) getBlock(ctx context.Context, cid cid.Cid) (blocks.Block, e
 	return convertBitswap(blk)
 }
 
-func (b *Blockstore) Get(ctx context.Context, cid cid.Cid) (blocks.Block, error) {
-	blk, err := b.getBlock(ctx, cid)
+func (b *Blockstore) GetSize(ctx context.Context, cid cid.Cid) (int, error) {
+	// NOTE: Bitswap prioritizes peers based on their active/pending work and the priority that peers set for requests(work)
+	// themselves. The prioritization happens on the Get operation of Blockstore not GetSize, while GetSize is expected
+	// to be as lightweight as possible.
+	//
+	// Here is the best case we only open the Accessor and getting its size, avoiding expensive compute to get the size.
+	blk, acc, err := b.getBlockAndAccessor(ctx, cid)
 	if err != nil {
-		return nil, err
+		return 0, err
 	}
+	defer func() {
+		if err := acc.Close(); err != nil {
+			log.Warnf("failed to close EDS accessor for height %v: %s", blk.Height(), err)
+		}
+	}()
 
-	return blk, nil
-}
-
-func (b *Blockstore) GetSize(ctx context.Context, cid cid.Cid) (int, error) {
-	// TODO(@Wondertan): Bitswap checks the size of the data(GetSize) before serving it via Get. This means
-	//  GetSize may do an unnecessary read from disk which we can avoid by either caching on Blockstore level
-	//  or returning constant size(we know at that point that we have requested data)
-	blk, err := b.Get(ctx, cid)
+	size, err := blk.Size(ctx, acc)
 	if err != nil {
-		return 0, err
+		return 0, fmt.Errorf("getting block size: %w", err)
 	}
-	return len(blk.RawData()), nil
+
+	return size, nil
 }
 
 func (b *Blockstore) Has(ctx context.Context, cid cid.Cid) (bool, error) {
diff --git a/share/shwap/p2p/bitswap/block_test.go b/share/shwap/p2p/bitswap/block_test.go
index 39bb55bc14..f17c5a236b 100644
--- a/share/shwap/p2p/bitswap/block_test.go
+++ b/share/shwap/p2p/bitswap/block_test.go
@@ -95,6 +95,10 @@ func (t *testBlock) Height() uint64 {
 	return 1
 }
 
+func (t *testBlock) Size(_ context.Context, _ eds.Accessor) (int, error) {
+	return len(t.data), nil
+}
+
 func (t *testBlock) Populate(context.Context, eds.Accessor) error {
 	return nil // noop
 }
diff --git a/share/shwap/p2p/bitswap/row_block.go b/share/shwap/p2p/bitswap/row_block.go
index 4763f63954..bc3fee6dbb 100644
--- a/share/shwap/p2p/bitswap/row_block.go
+++ b/share/shwap/p2p/bitswap/row_block.go
@@ -6,6 +6,7 @@ import (
 
 	"github.com/ipfs/go-cid"
 
+	libshare "github.com/celestiaorg/go-square/v2/share"
 	"github.com/celestiaorg/rsmt2d"
 
 	"github.com/celestiaorg/celestia-node/share"
@@ -72,6 +73,12 @@ func (rb *RowBlock) Height() uint64 {
 	return rb.ID.Height
 }
 
+func (rb *RowBlock) Size(ctx context.Context, acc eds.Accessor) (int, error) {
+	squareSize := acc.Size(ctx)
+	rowSize := libshare.ShareSize * squareSize / 2
+	return rowSize, nil
+}
+
 func (rb *RowBlock) Marshal() ([]byte, error) {
 	if rb.Container.IsEmpty() {
 		return nil, fmt.Errorf("cannot marshal empty RowBlock")
diff --git a/share/shwap/p2p/bitswap/row_namespace_data_block.go b/share/shwap/p2p/bitswap/row_namespace_data_block.go
index 52ddbd9520..67315b4b8c 100644
--- a/share/shwap/p2p/bitswap/row_namespace_data_block.go
+++ b/share/shwap/p2p/bitswap/row_namespace_data_block.go
@@ -78,6 +78,23 @@ func (rndb *RowNamespaceDataBlock) Height() uint64 {
 	return rndb.ID.Height
 }
 
+func (rndb *RowNamespaceDataBlock) Size(ctx context.Context, acc eds.Accessor) (int, error) {
+	// no way to statically learn the size of requested data, so read it out and compute
+	// TODO(@Wondertan): Consider adding optimized RowNamespaceDataSize method to the Accessor
+	err := rndb.Populate(ctx, acc)
+	if err != nil {
+		return 0, err
+	}
+
+	// TODO(@Wondertan): Avoid converting in favour of getting size just by looking at container
+	blk, err := convertBitswap(rndb)
+	if err != nil {
+		return 0, err
+	}
+
+	return len(blk.RawData()), nil
+}
+
 func (rndb *RowNamespaceDataBlock) Marshal() ([]byte, error) {
 	if rndb.Container.IsEmpty() {
 		return nil, fmt.Errorf("cannot marshal empty RowNamespaceDataBlock")
diff --git a/share/shwap/p2p/bitswap/sample_block.go b/share/shwap/p2p/bitswap/sample_block.go
index 062369c0be..9d5263f91e 100644
--- a/share/shwap/p2p/bitswap/sample_block.go
+++ b/share/shwap/p2p/bitswap/sample_block.go
@@ -3,9 +3,12 @@ package bitswap
 import (
 	"context"
 	"fmt"
+	"math"
 
 	"github.com/ipfs/go-cid"
 
+	libshare "github.com/celestiaorg/go-square/v2/share"
+
 	"github.com/celestiaorg/celestia-node/share"
 	"github.com/celestiaorg/celestia-node/share/eds"
 	"github.com/celestiaorg/celestia-node/share/shwap"
@@ -71,6 +74,12 @@ func (sb *SampleBlock) Height() uint64 {
 	return sb.ID.Height
 }
 
+func (sb *SampleBlock) Size(ctx context.Context, acc eds.Accessor) (int, error) {
+	squareSize := acc.Size(ctx)
+	sampleSize := libshare.ShareSize + share.AxisRootSize*int(math.Log2(float64(squareSize)))
+	return sampleSize, nil
+}
+
 func (sb *SampleBlock) Marshal() ([]byte, error) {
 	if sb.Container.IsEmpty() {
 		return nil, fmt.Errorf("cannot marshal empty SampleBlock")