"I think I'll be fine," Olsen said after the game. "I was ready to come back, but I guess I wasn't ready to play an entire NFL game."
Coach Ron Rivera said Olsen wanted to return for the second half, but that his foot was sore. Rivera also said he doesn't believe it is a serious reaggravation.
The three-time Pro Bowl selection was activated on Friday after missing the previous eight games with a broken right foot suffered in a Week 2 win against Buffalo.
"Knowing how these things are coming off [an injury] are sometimes a little tricky and when you're dealing with your foot there's only so much you can do," Olsen said. "We just thought it would be best not to go crazy out there on that turf."
In 2016, Olsen became the only tight end in NFL history to have three consecutive 1,000-yard receiving seasons.
He had one catch for 10 yards on four targets against the Jets before the injury.