diff --git a/netconn.go b/netconn.go
index e397d7a2..c43d3a29 100644
--- a/netconn.go
+++ b/netconn.go
@@ -22,6 +22,8 @@ import (
 // reading/writing goroutines are interrupted but the connection is kept alive.
 //
 // The Addr methods will return a mock net.Addr.
+//
+// A received StatusNormalClosure close frame will be translated to EOF when reading.
 func NetConn(c *Conn) net.Conn {
 	nc := &netConn{
 		c: c,
@@ -47,6 +49,7 @@ type netConn struct {
 
 	readTimer   *time.Timer
 	readContext context.Context
+	eofed       bool
 
 	reader io.Reader
 }
@@ -66,9 +69,18 @@ func (c *netConn) Write(p []byte) (int, error) {
 }
 
 func (c *netConn) Read(p []byte) (int, error) {
+	if c.eofed {
+		return 0, io.EOF
+	}
+
 	if c.reader == nil {
 		typ, r, err := c.c.Reader(c.readContext)
 		if err != nil {
+			var ce CloseError
+			if xerrors.As(err, &ce) && (ce.Code == StatusNormalClosure) {
+				c.eofed = true
+				return 0, io.EOF
+			}
 			return 0, err
 		}
 		if typ != MessageBinary {
@@ -81,6 +93,7 @@ func (c *netConn) Read(p []byte) (int, error) {
 	n, err := c.reader.Read(p)
 	if err == io.EOF {
 		c.reader = nil
+		err = nil
 	}
 	return n, err
 }
diff --git a/websocket_test.go b/websocket_test.go
index 2112ff7e..1dc5283b 100644
--- a/websocket_test.go
+++ b/websocket_test.go
@@ -130,11 +130,13 @@ func TestHandshake(t *testing.T) {
 				nc := websocket.NetConn(c)
 				defer nc.Close()
 
-				nc.SetWriteDeadline(time.Now().Add(time.Second * 10))
+				nc.SetWriteDeadline(time.Now().Add(time.Second * 15))
 
-				_, err = nc.Write([]byte("hello"))
-				if err != nil {
-					return err
+				for i := 0; i < 3; i++ {
+					_, err = nc.Write([]byte("hello"))
+					if err != nil {
+						return err
+					}
 				}
 
 				return nil
@@ -151,16 +153,39 @@ func TestHandshake(t *testing.T) {
 				nc := websocket.NetConn(c)
 				defer nc.Close()
 
-				nc.SetReadDeadline(time.Now().Add(time.Second * 10))
+				nc.SetReadDeadline(time.Now().Add(time.Second * 15))
 
-				p := make([]byte, len("hello"))
-				_, err = io.ReadFull(nc, p)
-				if err != nil {
+				read := func() error {
+					p := make([]byte, len("hello"))
+					// We do not use io.ReadFull here as it masks EOFs.
+					// See https://github.com/nhooyr/websocket/issues/100#issuecomment-508148024
+					_, err = nc.Read(p)
+					if err != nil {
+						return err
+					}
+
+					if string(p) != "hello" {
+						return xerrors.Errorf("unexpected payload %q received", string(p))
+					}
+					return nil
+				}
+
+				for i := 0; i < 3; i++ {
+					err = read()
+					if err != nil {
+						return err
+					}
+				}
+
+				// Ensure the close frame is converted to an EOF and multiple read's after all return EOF.
+				err = read()
+				if err != io.EOF {
 					return err
 				}
 
-				if string(p) != "hello" {
-					return xerrors.Errorf("unexpected payload %q received", string(p))
+				err = read()
+				if err != io.EOF {
+					return err
 				}
 
 				return nil