diff --git a/Lib/smtpd.py b/Lib/smtpd.py
index 69cdcdc4468..dd410b8e169 100755
--- a/Lib/smtpd.py
+++ b/Lib/smtpd.py
@@ -525,9 +525,6 @@ def smtp_MAIL(self, arg):
         if not self.extended_smtp and params:
             self.push(syntaxerr)
             return
-        if not address:
-            self.push(syntaxerr)
-            return
         if self.mailfrom:
             self.push('503 Error: nested MAIL command')
             return
@@ -586,15 +583,9 @@ def smtp_RCPT(self, arg):
             else:
                 self.push(syntaxerr)
                 return
-        if not address:
-            self.push(syntaxerr)
-            return
         if params and len(params.keys()) > 0:
             self.push('555 RCPT TO parameters not recognized or not implemented')
             return
-        if not address:
-            self.push('501 Syntax: RCPT TO: <address>')
-            return
         self.rcpttos.append(address)
         print('recips:', self.rcpttos, file=DEBUGSTREAM)
         self.push('250 OK')