Florida Fish and Wildlife officials had set traps since the dismembered body of Yovy Suarez Jimenez was found in a canal Wednesday.
They said Saturday a 9 ½-foot-long gator was found and killed near where Jimenez' body was found.
Two human arms were found in the gator's stomach but haven't been confirmed as those belonging to the Jimenez, a college student from Davie, Fla., and an aspiring model, CNN reports.
"We strongly suspect this is the alligator," said state Fish and Wildlife Conservation Commission spokeswoman Dani Moschella. Test results are due back Monday.
Jimenez went missing Tuesday night while she was jogging alongside the canal.
Broward County Medical Examiner Dr. Joshua Perper said he thinks the gator attacked Jimenez and dragged her into the canal but killed her before she drowned.
She was the 18th human victim of Florida alligators since 1948.