admittedly

adverb2

1. •
   As is acknowledged to be true; by general admission; confessedly.

   • Admittedly, vandalism is a bit of a problem.
   • She was admittedly the one who killed the baron.
2. •
   Signals a concession followed by a counterpoint usually headed by but.

   • It's only a theory, admittedly, but it might work.
   • Admittedly he can't swim, but he still loves going to the seaside anyway.