NEW YORK -- A.J. Burnett's appeal of a six-game suspension appears to be nearing a resolution. The Yankees right-hander will have a conference call with the Major League Baseball Players Association on Monday, and he'll have his appeal heard Tuesday in an effort to have the ban reduced.

"I'll know more Monday, and you guys will know more Tuesday," Burnett said to reporters following Sunday's 15-0 win over the Mets. "We'll find out. Hopefully, we can get it reduced a little bit."

Burnett received the suspension on June 4, two days after he threw behind Rangers outfielder Nelson Cruz. Earlier in that game, Rangers starter Vicente Padilla hit Yankees first baseman Mark Teixeira twice.

"It's their decision," Burnett said after hearing of the suspension and announcing his appeal, which allowed him to play until it was heard. "I pitch inside all the time, and pitches get away. But I can't complain about it. I've just got to go with it and see what happens."

Burnett was not ejected from the June 2 game, but both benches were warned by home-plate umpire Doug Eddings. Padilla was not suspended, but -- like Burnett -- he was fined an undisclosed amount.

"Warnings are warnings -- it doesn't bother me," Burnett said after the June 2 game. "You've still got to go about your business."

Earlier this season, MLB suspended Red Sox right-hander Josh Beckett six games for throwing near the head of Angels outfielder Bobby Abreu after Abreu asked for time. Beckett, who was not ejected from that game, appealed and sat out only five games.

The two most likely outcomes of Burnett's appeal -- a one-game reduction or no change -- would put Phil Hughes in line to take Burnett's next turn in the rotation -- on June 20 against the Marlins in Florida. Hughes, who pitched the ninth inning on Sunday, has started seven games this season, but his past three appearances have been out of the bullpen.

Saturday's game would be the fifth game of Burnett's suspension, as long as it begins on Tuesday. Left-hander CC Sabathia, who will start on Tuesday night against the Nationals at Yankee Stadium, would be able to follow on normal rest for his next start, on June 21.

The Yankees sent Hughes to the bullpen to allow right-hander Chien-Ming Wang to slide back into the rotation after stints on the disabled list and in the bullpen. Wang struggled mightily before his trip to the DL and has hardly improved since, and both manager Joe Girardi and Wang have hinted that Wang's start on Wednesday against the Nationals could be a final chance for the righty to stay in the Yankees' starting rotation.