The Royals are on a four-day, three-game trip for Interleague Play against the Pirates.
"We're still evaluating. He's a little better today," Royals general manager Dayton Moore said on Thursday. "I'm keeping my fingers crossed there. He's a pretty quick healer, but we'll see."
Paulino's next start would be on Tuesday night against the Brewers, but the injury puts that in doubt. Moore said that no decision about the disabled list has been made.
"I don't know yet. I'm optimistic, but it's probably going to be about 48 hours before we get a true indication," Moore said. "We don't want to put him on the DL if he's only going to miss one start or two starts."
Manager Ned Yost said on Friday that there was "a high degree of probability" that Paulino would not make his Tuesday start. If not, Luis Mendoza will oppose the Brewers with Luke Hochevar the probable starter on Wednesday night.
Hot prospect Jake Odorizzi is 3-0 with a 2.22 ERA in five games for Omaha since being promoted from Double-A. On Thursday night, Odorizzi worked 6 2/3 innings with 10 strikeouts to beat Round Rock, 7-2, but Yost said the right-hander still has a lot to prove at Triple-A before being promoted to the Majors.
"We haven't even come close to discussing it," Yost said. "He's doing fine and he's going to be a tremendous Major League pitcher, but you can't rush these things."
The same holds true, he said, for outfielder Wil Myers, who hit a grand slam off Roy Oswalt in that game and has a .321 average, eight homers and 22 RBIs in his 21 games since joining Omaha.
Rehab stints began for three disabled Royals in the game. Catcher Salvador Perez was 2-for-4 as the designated hitter, second baseman Chris Getz was 1-for-2 with a walk and starting pitcher Everett Teaford gave up one run and two hits in two innings. He was relieved by Odorizzi.