Mitchell threw three innings Saturday, meaning he wouldn't be available for at least a couple days, and Yankees manager Joe Girardi believed he needed a fresh arm in the bullpen.
Burawa, 26, was a 12th-round draft pick in 2010 and was 1-1 with a 1.75 ERA in 26 appearances at Triple-A this season, giving up 21 hits in 36 innings.
"He’s a guy that can give you a little bit of distance but not a ton of distance -- a couple innings, three innings maybe, if his pitch count is down," Girardi said. "I’d use him against right-handers -- very good sinker, very good slider."
Burawa is also a New York native -- born in Riverhead, New York, and drafted out of St. John's. He grew up a Yankees fan, too.
"Literally a dream come true, but it still feels like I’m dreaming," Burawa said of getting called up.
Speaking of calls, Burawa had to borrow his roommmate's cellphone to call his parents and share the big news -- his own cellphone isn't working at the moment.
"I kind of messed with them a little bit," Burawa said, chuckling. "I asked my dad what he was doing for Father’s Day, and he said nothing. And I said, 'I’m pretty sure you’re doing something.'"
Burawa's father will be at Yankee Stadium on Sunday, along with his mother, brothers, some aunts and uncles and friends. What a memorable Father's Day this will be.
More on Williams, Flores: Girardi said the Yankees decided to play it safe by placing Williams on the disabled list. They don't want him to rush back before he's ready, and they also could use more flexibility on the bench -- the Yanks had played nine straight days entering Sunday and don't have another scheduled day off until July 2.
Flores played in nine games in late May and early June, batting .269.
"I thought he did an outstanding job in left field for us," Girardi said. "I think he started to swing the bat. He swung the bat in Triple-A, so we feel good about it."
Girardi also said he still has no target date for the return of injured outfielder Jacoby Ellsbury.
Tough breaks: Injured reliever Sergio Santos is going to have Tommy John surgery and will miss the rest of the season. Santos, who the Yankees acquired earlier this month from the Los Angeles Dodgers, made two appearances for the Yankees, the last being this past Monday against the Miami Marlins.
Lefty reliever Jacob Lindgren will have surgery Monday to remove a bone spur in his pitching elbow. His recovery and rehab is expected to take no longer than 12 weeks.
Big mystery: The Yankees open a three-game series against the Philadelphia Phillies on Monday in the Bronx. Michael Pineda and CC Sabathia will start the first two games, but the Yankees have yet to announce a starter for Wednesday.
Ivan Nova, who made a rehab start at Triple-A on Friday, could make his season debut, even though he struggled Friday. Girardi said a decision probably will be announced Monday.