Following a torn ligament from falling mid-routine on Monday night's Dancing with the Stars, the Science Guy, 57, is "in good spirits and is really hoping he can continue to compete," a source tells PEOPLE.
Nye, a fan favorite on the ABC show, "stepped on the cuff of these fancy slacks and I went down," he told PEOPLE after the tumble earlier this week. "We'll do R.I.C.E. – we'll do rest, ice, compression, elevation [and] see where we get."
The injury sent him to the hospital. "Bill Nye was injured during his performance last night and is currently seeking medical attention," the show said in a statement. "We will continue to keep you posted on his progress.”
The former TV host, who claimed the first big injury of the season, did not have to go through the doctor visit alone. He posted an Instagram photo on Tuesday with dance partner Tyne Stecklein by his side, with her hand on his wrapped knee.
"Here is the scoop: partially torn ligament," Nye wrote. "Awaiting the doc's orders with Tyne. We plan to dance! Stand by."
Additional reporting by MICHELE STUEVEN