diff --git a/ext/openssl/lib/openssl/buffering.rb b/ext/openssl/lib/openssl/buffering.rb
index 9bd83f1732..d773637c0e 100644
--- a/ext/openssl/lib/openssl/buffering.rb
+++ b/ext/openssl/lib/openssl/buffering.rb
@@ -379,8 +379,7 @@ module OpenSSL::Buffering
   #
   # By specifying a keyword argument _exception_ to +false+, you can indicate
   # that write_nonblock should not raise an IO::Wait*able exception, but
-  # return the symbol +:wait_writable+ or +:wait_readable+ instead. At EOF,
-  # it will return +nil+ instead of raising EOFError.
+  # return the symbol +:wait_writable+ or +:wait_readable+ instead.
 
   def write_nonblock(s, exception: true)
     flush
diff --git a/ext/openssl/ossl_ssl.c b/ext/openssl/ossl_ssl.c
index 87a3dda8b1..1ffd54b240 100644
--- a/ext/openssl/ossl_ssl.c
+++ b/ext/openssl/ossl_ssl.c
@@ -1601,8 +1601,7 @@ ossl_ssl_connect(VALUE self)
  * By specifying a keyword argument _exception_ to +false+, you can indicate
  * that connect_nonblock should not raise an IO::WaitReadable or
  * IO::WaitWritable exception, but return the symbol +:wait_readable+ or
- * +:wait_writable+ instead. At EOF, it will return +nil+ instead of raising
- * EOFError.
+ * +:wait_writable+ instead.
  */
 static VALUE
 ossl_ssl_connect_nonblock(int argc, VALUE *argv, VALUE self)
@@ -1650,8 +1649,7 @@ ossl_ssl_accept(VALUE self)
  * By specifying a keyword argument _exception_ to +false+, you can indicate
  * that accept_nonblock should not raise an IO::WaitReadable or
  * IO::WaitWritable exception, but return the symbol +:wait_readable+ or
- * +:wait_writable+ instead. At EOF, it will return +nil+ instead of raising
- * EOFError.
+ * +:wait_writable+ instead.
  */
 static VALUE
 ossl_ssl_accept_nonblock(int argc, VALUE *argv, VALUE self)
diff --git a/ext/socket/lib/socket.rb b/ext/socket/lib/socket.rb
index ec9a52c80d..ad7d1e7aa0 100644
--- a/ext/socket/lib/socket.rb
+++ b/ext/socket/lib/socket.rb
@@ -315,8 +315,7 @@ class BasicSocket < IO
   #
   # By specifying a keyword argument _exception_ to +false+, you can indicate
   # that sendmsg_nonblock should not raise an IO::WaitWritable exception, but
-  # return the symbol +:wait_writable+ instead. At EOF, it will return +nil+
-  # instead of raising EOFError.
+  # return the symbol +:wait_writable+ instead.
   def sendmsg_nonblock(mesg, flags = 0, dest_sockaddr = nil, *controls,
                        exception: true)
     __sendmsg_nonblock(mesg, flags, dest_sockaddr, controls, exception)
@@ -364,8 +363,7 @@ class BasicSocket < IO
   #
   # By specifying a keyword argument _exception_ to +false+, you can indicate
   # that recv_nonblock should not raise an IO::WaitReadable exception, but
-  # return the symbol +:wait_readable+ instead. At EOF, it will return +nil+
-  # instead of raising EOFError.
+  # return the symbol +:wait_readable+ instead.
   #
   # === See
   # * Socket#recvfrom
@@ -439,8 +437,7 @@ class BasicSocket < IO
   #
   # By specifying a keyword argument _exception_ to +false+, you can indicate
   # that recvmsg_nonblock should not raise an IO::WaitReadable exception, but
-  # return the symbol +:wait_readable+ instead. At EOF, it will return +nil+
-  # instead of raising EOFError.
+  # return the symbol +:wait_readable+ instead.
   def recvmsg_nonblock(dlen = nil, flags = 0, clen = nil,
                        scm_rights: false, exception: true)
     __recvmsg_nonblock(dlen, flags, clen, scm_rights, exception)
@@ -517,8 +514,7 @@ class Socket < BasicSocket
   #
   # By specifying a keyword argument _exception_ to +false+, you can indicate
   # that recvfrom_nonblock should not raise an IO::WaitReadable exception, but
-  # return the symbol +:wait_readable+ instead. At EOF, it will return +nil+
-  # instead of raising EOFError.
+  # return the symbol +:wait_readable+ instead.
   #
   # === See
   # * Socket#recvfrom
@@ -575,8 +571,7 @@ class Socket < BasicSocket
   #
   # By specifying a keyword argument _exception_ to +false+, you can indicate
   # that accept_nonblock should not raise an IO::WaitReadable exception, but
-  # return the symbol +:wait_readable+ instead. At EOF, it will return +nil+
-  # instead of raising EOFError.
+  # return the symbol +:wait_readable+ instead.
   #
   # === See
   # * Socket#accept
@@ -1195,8 +1190,7 @@ class Socket < BasicSocket
   #
   # By specifying a keyword argument _exception_ to +false+, you can indicate
   # that connect_nonblock should not raise an IO::WaitWritable exception, but
-  # return the symbol +:wait_writable+ instead. At EOF, it will return +nil+
-  # instead of raising EOFError.
+  # return the symbol +:wait_writable+ instead.
   #
   # === See
   #  # Socket#connect
@@ -1254,8 +1248,7 @@ class UDPSocket < IPSocket
   #
   # By specifying a keyword argument _exception_ to +false+, you can indicate
   # that recvfrom_nonblock should not raise an IO::WaitReadable exception, but
-  # return the symbol +:wait_readable+ instead. At EOF, it will return +nil+
-  # instead of raising EOFError.
+  # return the symbol +:wait_readable+ instead.
   #
   # === See
   # * Socket#recvfrom
@@ -1296,8 +1289,7 @@ class TCPServer < TCPSocket
   #
   # By specifying a keyword argument _exception_ to +false+, you can indicate
   # that accept_nonblock should not raise an IO::WaitReadable exception, but
-  # return the symbol +:wait_readable+ instead. At EOF, it will return +nil+
-  # instead of raising EOFError.
+  # return the symbol +:wait_readable+ instead.
   #
   # === See
   # * TCPServer#accept
@@ -1338,8 +1330,7 @@ class UNIXServer < UNIXSocket
   #
   # By specifying a keyword argument _exception_ to +false+, you can indicate
   # that accept_nonblock should not raise an IO::WaitReadable exception, but
-  # return the symbol +:wait_readable+ instead. At EOF, it will return +nil+
-  # instead of raising EOFError.
+  # return the symbol +:wait_readable+ instead.
   #
   # === See
   # * UNIXServer#accept
diff --git a/prelude.rb b/prelude.rb
index c9764ec839..7b98e28285 100644
--- a/prelude.rb
+++ b/prelude.rb
@@ -129,8 +129,7 @@ class IO
   #
   # By specifying a keyword argument _exception_ to +false+, you can indicate
   # that write_nonblock should not raise an IO::WaitWritable exception, but
-  # return the symbol +:wait_writable+ instead. At EOF, it will return nil
-  # instead of raising EOFError.
+  # return the symbol +:wait_writable+ instead.
   def write_nonblock(buf, exception: true)
     __write_nonblock(buf, exception)
   end