Dempster received a five-game suspension and was fined for intentionally hitting A-Rod on Sunday night, Major League Baseball senior vice president Joe Garagiola Jr. announced Tuesday.
Boston Red Sox
But Dempster may not even miss a start during his ban because the Red Sox have two off days over the next seven days.
Girardi and Sabathia questioned that logic after the Yankees' win over Toronto on Tuesday afternoon.
"If you suspend a position player three games, he misses three games. You can suspend a pitcher five games, even six games and they may not miss a start if the off days come into play," Girardi said. "That's why I think the off days have to be taken into account when you make a suspension."
Added Sabathia: "I don't think it was fair that he got five games. I think he should miss a start. ... If it happens again, hopefully somebody will see that this isn't enough and the guy gets suspended longer."
Girardi was fined $5,000 and Dempster $2,500, a source told the Associated Press.
Initially, the Yankees' manager declined comment when asked about Dempster's suspension on Tuesday afternoon. But when pressed about the length of the suspension, he opened up.
Girardi was also asked if he thought the Dempster suspension would give pitchers the incentive to drill A-Rod intentionally.
"We'll find out," he said. "I sure hope not."
ICHIRO ONE AWAY FROM 4K: Ichiro Suzuki, who isn't in the Game 2 starting lineup, went 2-for-5 with two runs scored in the first game of Tuesday's doubleheader and is one hit shy of 4,000 for his career in the US and Japan. He had 1,278 hits in Japan.
"I didn't have 4,000 hits my whole career going back to T-ball," Girardi said with a smile. "To me, it's an incredible feat and he's some kind of hitter."
SEMI-SUPER NOVA: Ivan Nova (9 H, 4 ER in 6.1 IP) has held opponents homerless in his last 42 2/3 innings pitched. That streak continued on Tuesday. But his seven-start streak of throwing at least seven innings in each start was snapped.