Republican Sen. Lisa Murkowski, running for re-election as a write-in candidate, said Wednesday during a debate that she would not support Sarah Palin (R) for president if the former Alaska governor and 2008 vice presidential nominee launched a White House bid in 2012, according to the Associated Press.

Murkowski and Palin have had a rocky relationship for many years. In 2006, Palin ousted Murkowski’s father and then-Gov. Frank Murkowski in a GOP gubernatorial primary. Sen. Murkowski was appointed to the Senate by her father after he left Capitol Hill to serve as his state’s chief executive.

The animosity between Murkowski and Palin reignited this year after the former governor endorsed Fairbanks attorney Joe Miller over Murkowski in the Alaska Senate GOP primary. Miller prevailed, and appeared to be headed to an easy general election victory until Murkowski decided to enter the race as a write-in.

Recent polls show a tight race, with Murkowski narrowly leading and Miller and Sitka Mayor Scott McAdams (D) fighting for second place.