June 2 (Reuters) - Shares of U.S. banks rose on Friday after the U.S. Senate on Thursday passed bipartisan legislation that lifted the government's $31.4 trillion debt ceiling and averted a historic default.

Shares of JPMorgan Chase & Co, Goldman Sachs, Morgan Stanley, Citigroup, Wells Fargo and Bank of America gained between 2.2% and 3.8%

Their mid-sized counterparts, Charles Schwab, PNC Financial, Regions Financial, US Bancorp, and PacWest Bancorp, gained between 2.9% and 12%.

Meanwhile, a key jobs data on Friday highlighted a cooling in wage inflation that reinforced bets that the central bank will steer clear of a rate hike this month.

Fed funds futures trading showed an over 70% probability that the Fed will hold interest rates steady at its June 13-14 policy meeting.

Banks stocks typically fall out of favor after expectations of rate hikes are lowered because their profits take a hit when interest rates dwindle. (Reporting by Mehnaz Yasmin in Bengaluru; Editing by Anil D'Silva)