But Giggs feels despite the strong options at Jose Mourinho's disposal in attack, Rashford can still get enough minutes at Old Trafford.
“The main problem for Rashford is his best position is as a striker and it doesn't look as though he's going to get in ahead of Lukaku," Wales coach Giggs told Sky Sports.
“He was very good in that position against Yeovil but ultimately he's not going to get as many goals over a season as Lukaku.
"However, I can't see Rashford looking at his future at the moment. He'll get enough games across the four competitions, but the issues are when he isn't involved in the big games.
“When I first came into the team there were two places for three players - me, Lee Sharpe and Andrey Kanchelskis. So I was just thinking that when I get minutes I have to prove myself.
“Generally you've got to be excited about the competition Manchester United have in the attacking areas now.