Patrice Evra's third goal of the season after 16 minutes of play gave United the lead at the Liberty Stadium, shortly before Michu equalised.
In a game that saw United held to their first draw of the season, the Swansea skipper said: "I think so (we deserved a point), we worked hard.
"We lost twice to them last season and we lost the last two so we needed something.
"We had to dig in. You saw how close we are as a team everyone was defending and working hard.
"They are a brilliant team so we are happy with a point."