Scholes turned 38 on Friday and will be hoping to make his 10th appearance of the season at Carrow Road against Norwich City on Saturday.
The former England man seems comfortable with his rotational role in the team and Sir Alex is happy for the playmaker to take his time in deciding on his prospects beyond the current campaign.
"It is not a time to make a judgment on that [Scholes' future]," the Old Trafford boss told the media. "Paul will know himself. He still has the desire to play. That has not stopped."
|HE SCORES GOALS
|10/1||Paul Scholes is 10/1 with Paddy Power to score first against Norwich|
"He is still the best passer of the ball in the country," Sir Alex continued. "It is amazing. He has had one or two injuries over the years, quit last summer and came back.
"He made a fantastic conribution in the second half of the season and I just think he should keep doing what he is doing. He will sort the rest out himself."