Switching to the striking role under Solskjaer, Rashford has somewhat failed to deliver as a centre-forward.
The English forward faced intense criticism in the side’s 1-0 victory over Astana in the UEFA Europa League on Thursday as Solskjaer’s men were bailed out by Mason Greenwood in the 73rd minute.
And defending the 21-year-old, Solskajer is optimistic Rashford is on his way to score more goals for the Red Devils as he preaches patience for the shot-shy-striker.
"He's getting the chances. He could have had three [against Astana]. The keeper made a few fantastic saves," he said.
"I don't worry about that. We're working every single day in training with Marcus and he wants to improve and wants to be better.
"He could have finished once with his left foot instead of his right on Thursday. It was just one of those days. Their keeper was excellent.
"All the goals we've scored have come from our forwards, with Marcus and Anthony and Dan James. I'm sure they'll chip in with many, many goals," he said.
"Marcus is still young. He'll improve. You won't hit your peak as a striker until you're 26 or 27. He's still learning what finishes to make in different circumstances."
Rashford, has bulged the net three times for Manchester United after five games in the Premier League so far.
Recording just two wins from the last five league games, Man United will be hoping to gain maximum points in their clash against West Ham United at the London Stadium on Sunday.