The Lady Vols (13-2) blanked Baylor Friday afternoon, 2-0, behind Abbott's 11 strikeouts. The freshman sensation in now 12-0 to start the season.
Sophomore Catherine Card's RBI-single in the fifth was all Abbott would need.
Tennessee's only loss came to No. 1 UCLA, 3-0. Bruin senior Keira Goerl, the MVP of last year's Women's College World Series, held the Lady Vols to just two hits, striking out 11.
UT sophomore Stacey Jennings (1-2) surrendered five hits, struck out four and gave up only one earned en route to her third complete-game of the season.
The Lady Vols rebounded Saturday with a 4-1 win over Utah, as Abbott allowed only two hits, going the distance for the win. She also struck out 13, carrying a no-hitter into the fifth inning.
Amber Rhinehart hit her team-leading sixth home run of the season in the victory.
"Monica pitched well and was at the top of her game in clutch situations," co-coach Ralph Weekly said.
Rain Sunday morning canceled the Lady Vols' final game of the tournament against Notre Dame.