"I don't know when it is...and please don't tell me," the "Judy" actress joked.
Zellweger has previously won the Academy Award for best supporting actress in 2004.
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However, on the red carpet at the film festival, Zellweger's mind was elsewhere: "I have my head in UC Davis where my doggie Chester just had his second hip replacement surgery for complications."
The actress has been busy this awards season but claimed, "I've been hands-on and thinking about that every minute."
"He's my son, my first son," Zellweger said about her German Shepherd.
Zellweger revealed that her canine's full name is Winchester King of the Road.
We're sending our well wishes to Chester and our good luck wishes to Zellweger on Oscar nomination morning.
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The nominees for the 92nd Academy Awards will be announced on Monday, Jan. 13 at OnTheRedCarpet.com.
Don't miss the 92nd Academy Awards, airing at 8 p.m. ET | 7 p.m. CT | 5 p.m. PT on ABC.