diff --git a/copy_from.go b/copy_from.go
index e87bb94a..a2c227fd 100644
--- a/copy_from.go
+++ b/copy_from.go
@@ -4,7 +4,6 @@ import (
 	"bytes"
 	"context"
 	"fmt"
-	"github.com/jackc/pgx/v5/internal/nbconn"
 	"io"
 
 	"github.com/jackc/pgx/v5/internal/pgio"
@@ -132,17 +131,6 @@ func (ct *copyFrom) run(ctx context.Context) (int64, error) {
 		return 0, fmt.Errorf("unknown QueryExecMode: %v", ct.mode)
 	}
 
-	if realNbConn, ok := ct.conn.pgConn.Conn().(*nbconn.NetConn); ok {
-		if err := realNbConn.SetBlockingMode(false); err != nil {
-			return 0, fmt.Errorf("cannot set socket non-blocking mode: %w", err)
-		}
-
-		defer func() {
-			// TODO: Deal with it
-			_ = realNbConn.SetBlockingMode(true)
-		}()
-	}
-
 	r, w := io.Pipe()
 	doneChan := make(chan struct{})
 
diff --git a/internal/nbconn/nbconn.go b/internal/nbconn/nbconn.go
index 534ec605..a0dd5d4c 100644
--- a/internal/nbconn/nbconn.go
+++ b/internal/nbconn/nbconn.go
@@ -13,6 +13,7 @@ package nbconn
 import (
 	"crypto/tls"
 	"errors"
+	"fmt"
 	"net"
 	"os"
 	"sync"
@@ -97,8 +98,8 @@ type NetConn struct {
 	writeDeadlineLock sync.Mutex
 	writeDeadline     time.Time
 
-	// Indicates that underlying socket connection mode explicitly set to be non-blocking
-	isNonBlocking bool
+	// nbOperCnt Tracks how many operations performing simultaneously
+	nbOperCnt int32
 }
 
 func NewNetConn(conn net.Conn, fakeNonBlockingIO bool) *NetConn {
@@ -160,6 +161,18 @@ func (c *NetConn) Read(b []byte) (n int, err error) {
 
 	var readN int
 	if readNonblocking {
+		if setSockModeErr := c.SetBlockingMode(false); setSockModeErr != nil {
+			err = fmt.Errorf("cannot set socket to non-blocking mode: %w", setSockModeErr)
+		}
+
+		if err != nil {
+			return n, err
+		}
+
+		defer func() {
+			_ = c.SetBlockingMode(true)
+		}()
+
 		readN, err = c.nonblockingRead(b[n:])
 	} else {
 		readN, err = c.conn.Read(b[n:])
@@ -284,6 +297,14 @@ func (c *NetConn) flush() error {
 	var stopChan chan struct{}
 	var errChan chan error
 
+	if err := c.SetBlockingMode(false); err != nil {
+		return fmt.Errorf("cannot set socket to non-blocking mode: %w", err)
+	}
+
+	defer func() {
+		_ = c.SetBlockingMode(true)
+	}()
+
 	defer func() {
 		if stopChan != nil {
 			select {
@@ -327,6 +348,14 @@ func (c *NetConn) flush() error {
 }
 
 func (c *NetConn) BufferReadUntilBlock() error {
+	if err := c.SetBlockingMode(false); err != nil {
+		return fmt.Errorf("cannot set socket to non-blocking mode: %w", err)
+	}
+
+	defer func() {
+		_ = c.SetBlockingMode(true)
+	}()
+
 	for {
 		buf := iobufpool.Get(8 * 1024)
 		n, err := c.nonblockingRead(*buf)
diff --git a/internal/nbconn/nbconn_real_non_block_windows.go b/internal/nbconn/nbconn_real_non_block_windows.go
index 8ee2b5ae..eb7c3f35 100644
--- a/internal/nbconn/nbconn_real_non_block_windows.go
+++ b/internal/nbconn/nbconn_real_non_block_windows.go
@@ -6,6 +6,7 @@ import (
 	"errors"
 	"golang.org/x/sys/windows"
 	"io"
+	"sync/atomic"
 	"syscall"
 	"unsafe"
 )
@@ -43,14 +44,6 @@ func setSockMode(fd uintptr, mode sockMode) error {
 func (c *NetConn) realNonblockingWrite(b []byte) (n int, err error) {
 	if c.nonblockWriteFunc == nil {
 		c.nonblockWriteFunc = func(fd uintptr) (done bool) {
-			if !c.isNonBlocking {
-				// Make sock non-blocking
-				if err := setSockMode(fd, sockModeNonBlocking); err != nil {
-					c.nonblockWriteErr = err
-					return true
-				}
-			}
-
 			var written uint32
 			var buf syscall.WSABuf
 			buf.Buf = &c.nonblockWriteBuf[0]
@@ -58,14 +51,6 @@ func (c *NetConn) realNonblockingWrite(b []byte) (n int, err error) {
 			c.nonblockWriteErr = syscall.WSASend(syscall.Handle(fd), &buf, 1, &written, 0, nil, nil)
 			c.nonblockWriteN = int(written)
 
-			if !c.isNonBlocking {
-				// Make sock blocking again
-				if err := setSockMode(fd, sockModeBlocking); err != nil {
-					c.nonblockWriteErr = err
-					return true
-				}
-			}
-
 			return true
 		}
 	}
@@ -98,14 +83,6 @@ func (c *NetConn) realNonblockingWrite(b []byte) (n int, err error) {
 func (c *NetConn) realNonblockingRead(b []byte) (n int, err error) {
 	if c.nonblockReadFunc == nil {
 		c.nonblockReadFunc = func(fd uintptr) (done bool) {
-			if !c.isNonBlocking {
-				// Make sock non-blocking
-				if err := setSockMode(fd, sockModeNonBlocking); err != nil {
-					c.nonblockReadErr = err
-					return true
-				}
-			}
-
 			var read uint32
 			var flags uint32
 			var buf syscall.WSABuf
@@ -114,14 +91,6 @@ func (c *NetConn) realNonblockingRead(b []byte) (n int, err error) {
 			c.nonblockReadErr = syscall.WSARecv(syscall.Handle(fd), &buf, 1, &read, &flags, nil, nil)
 			c.nonblockReadN = int(read)
 
-			if !c.isNonBlocking {
-				// Make sock blocking again
-				if err := setSockMode(fd, sockModeBlocking); err != nil {
-					c.nonblockReadErr = err
-					return true
-				}
-			}
-
 			return true
 		}
 	}
@@ -157,22 +126,52 @@ func (c *NetConn) realNonblockingRead(b []byte) (n int, err error) {
 }
 
 func (c *NetConn) SetBlockingMode(blocking bool) error {
+	// Fake non-blocking I/O is ignored
+	if c.rawConn == nil {
+		return nil
+	}
+
+	if blocking {
+		// No ready to exit from non-blocking mode, there are pending non-blocking operations
+		if atomic.AddInt32(&c.nbOperCnt, -1) > 0 {
+			return nil
+		}
+	} else {
+		// Socket is already in non-blocking state
+		if atomic.AddInt32(&c.nbOperCnt, 1) > 1 {
+			return nil
+		}
+
+		//fmt.Println("socket reverting to blocking mode")
+	}
+
 	mode := sockModeNonBlocking
 	if blocking {
 		mode = sockModeBlocking
 	}
 
-	var err error
+	var ctrlErr, err error
 
-	if ctrlErr := c.rawConn.Control(func(fd uintptr) {
+	ctrlErr = c.rawConn.Control(func(fd uintptr) {
 		err = setSockMode(fd, mode)
-	}); ctrlErr != nil {
-		return ctrlErr
+	})
+
+	if ctrlErr != nil || err != nil {
+		// Revert counters inc/dec in case of error
+		if blocking {
+			atomic.AddInt32(&c.nbOperCnt, 1)
+		} else {
+			atomic.AddInt32(&c.nbOperCnt, -1)
+		}
+
+		if ctrlErr != nil {
+			return ctrlErr
+		}
+
+		if err != nil {
+			return err
+		}
 	}
 
-	if err == nil {
-		c.isNonBlocking = !blocking
-	}
-
-	return err
+	return nil
 }