Teyana Taylor and Iman Shumpert appear to be on the cusp of settling their nasty divorce ... but they're up against a tight deadline, and the clock is ticking.
The judge overseeing Teyana and Iman's divorce is giving them until June 27 to submit their divorce settlement in writing ... this according to new legal docs obtained by TMZ.
Teyana and Iman were in court Monday, Tuesday and Thursday this week, hashing out a bunch of issues they've been fighting about .