The 2012/13 Premier League champions fell behind to an early Theo Walcott opener before Robin van Persie levelled on the stroke of half-time.
There were suggestions that United relaxed during the match but Ferguson made it clear that his side were not up for giving any of the teams around the top four an easy path into the Champions League.
"We have got (third-placed) Chelsea next week," said Ferguson. "They are fighting for a Champions League place and we have to honour the rest of the teams who are trying to get there, like we did today.
"Nobody could say we relaxed too much, I thought we had the edge to the game in the second half."