Following the speculation of Falcao's arrival, there were suggestions that Rooney could be shown the door in the summer.
"I wouldn't say [signing Falcao] was the end for Wayne Rooney," Bruce told talkSPORT. "People keep stirring it up and Sir Alex Ferguson keeps playing it down. I'm sure Wayne Rooney still has a big part to play.
"You wouldn't be surprised to see Manchester United sign [Falcao] because their greatest strength is the way they keep improving [the squad]."
Meanwhile, United can wrap up the Premier League title race if they defeat Stoke City and Aston Villa over the next fortnight.