The 33-year old Spanish striker has missed the past two MLS matches with a hip problem and despite returning to training this week, is still in doubt for Sunday's meeting with the Seattle Sounders at Yankee Stadium.
"The real area of concern is the hip. Everything is stemming from there," NYCFC head coach Jason Kreis said.
"It's something we need to be mindful of. I think we've got it in a good place now and we need to consider it as we move forward."
Kreis admitted it was frustrating not being able to have their marquee man Villa on the pitch, especially after scoring twice in his first five appearances, but said the club had to remain patient rather than risk further damage.
"I think it's a very difficult thing in this league, and I've always thought so, when you have extremely important players like that, that you're allocating a lot of resources to, you need those guys on the field," Kreis added.
"It's not just about what David Villa is, it's also about what he brings to the group and how everyone feels a bit more confident and positive that plays around him."