Ben wants Jofra to be fit and ready for the series against Australia.
In this week's tour match against England, archer made his return after 16 months out with an injury.
Friday's final day was canceled because the match was heading for a draw.
"It's great to see him back running with the ball in his hand. He's one of the superstars of the international game," Stokes told Sky Sports.
There have been two rounds of elbow surgery and a stress fracture of the back for Archer, who hasn't played for England in over a year.
He is excited to be back. "He's had a long time off with injury and, as exciting as it is, we have to be careful not to rush him back as we don't want to see JofraArcher on the sidelines for this amount of time again."
I hope we can have Jofra fit and ready for the series. We are looking at that.
It's a target but he's ready to be patient with his recovery so he doesn't get injured again.
"I'd rather take these last few months very seriously, more serious than probably all of the rehab, because once this phase goes right then it can set me up for the next three to four years injury-free."
I'm more than willing to do some extra bowling and stuff in and around some other cricket to put my name in the hat.
He should not be put under too much pressure at this early stage of his career because he has been praised by others.
If he plays in the Pakistan series, he will become England's youngest ever Test player.
He loves cricket and spends his time shadow-batting in his room. He really likes it. I'm really looking forward to having him in the squad and seeing what he has.
He isn't the finished project yet. I think it's important that he isn't looked into a lot.