There are now 317 Conservative MPs.
184 voted Remain in the Referendum, that is well over half.
Would any of those vote for Boris? I don’t know, but I doubt it.
Boris got 114 on the first round. At the Referendum 139 conservative MPs voted to Leave, so he does have the potential to pick up some more votes.
My guess is he will come second in the final vote and win in the members vote.