The moment Keegan Bradley’s walk-off birdie putt on the 72nd hole clinched his second Travelers Championship victory in three years on Sunday in Cromwell, Conn., debates began about the “conundrum’’ and “dilemma’’ he suddenly faced as the Ryder Cup captain who had vaulted himself into the conversation to be a U.

Keegan Bradley is up to No. 9 in the latest Ryder Cup rankings for the U.S. Team. Only the top six get automatic spots. Will he be a playing captain?

Bradley, who is ranked 17th in U.S. Ryder Cup points, fired a 63 on Saturday at TPC River Highlands and sits just three shots off the lead.