USA Today's Sam Amick reported Saturday that Westbrook isn't expected to sign a five-year, $217 million extension with the Thunder right away but that it will remain on the table until he does or the deadline to sign it expires at the start of the 2017-18 season.
Amick noted Westbrook is a "happy superstar" following the Thunder's surprise acquisition of George.
After Kevin Durant left Oklahoma City to join the Golden State Warriors last summer, Westbrook agreed to a three-year, $86 million extension with the Thunder that he can opt out of after the 2017-18 season.
Amick reported in April that George was "hell-bent" on joining the Los Angeles Lakers when he becomes a free agent. The Thunder have at least given themselves a chance to offer him more years and money than any other team by virtue of acquiring him.
Westbrook is eligible for the super-max extension after being named to the All-NBA first team each of the last two years. He was also named the 2016-17 NBA MVP after averaging a triple-double with 31.6 points, 10.7 rebounds and 10.4 assists in 81 games.