New Hampshire (11-6) is in contention, having beaten the Crimson earlier in the season and No. 15 Boston College on Tuesday.
Holy Cross is the frontrunner in the Patriot League, which does not receive an automatic berth to the NCAA Tournament, yet still earned a representative in Lafayette last season.
Now that Harvard has passed by Providence, it must deal with Dartmouth and No. 17 Boston University this weekend.
The battle with Dartmouth on Saturday will have major revenge motives for the Crimson, as the Big Green beat Harvard in the regular season and in the ECAC Championship.
Sunday's game at B.U. will have a postseason atmosphere as there is slim chance that both local teams will make this year's tournament.
Last Saturday's loss to Princeton greatly minimized the Crimson's margin for error and left the team with four games left to win. So far, the status is one down, three to go.