Mysha Sataraka's homer tied it and Gracie Goulder's grand slam won it on Sunday against Arizona.
Ally Carda struck out five in a two-hit shutout and Brittany Moeai drove in the game's lone run.
Sunday's game is sold out, but tickets are available for Saturday and Monday's contests.
The Bruins went 6-0 at the UCLA/CSUN Invitational following Sunday's doubleheader sweep.
Ally Carda and Jessica Hall combined for 19 strikeouts in Saturday's doubleheader sweep for #3 UCLA.
Sophomore Mysha Sataraka homered in both ends of Friday's doubleheader sweep for #3 UCLA.
Sophomore Brittany Moeai had two hits and drove in two runs in Wednesday's loss.
Delaney Spaulding recorded her second homer and walk-off hit of the year Tuesday against Michigan.
#3 UCLA hosts #4 Michigan for a two-game series, followed by this weekend's UCLA/CSUN Invitational.
UCLA will host Michigan on Tuesday at 7 p.m. in a make up of its rained out game from last weekend.
Mother Nature kept the undefeated and fifth-ranked Bruins off the field this weekend.
Friday's storm has canceled the fifth-ranked Bruins' games against Michigan and Long Beach State.