Kopitar will be the fourth player with 1,000 games for the Kings, joining Dustin Brown (1,113), Dave Taylor (1,111) and Luc Robitaille (1,077). Kopitar has 885 points (311 goals, 574 assists) in 999 games.
The Kings are 4-1-1 in their past six games, including three straight wins at home.
The Flames, who clinched the Pacific Division and Western Conference with a 5-3 win against the San Jose Sharks on Sunday, are one point from having the second-most in any season in their history. They have 105 points, matching the 1987-88 Flames. The Calgary/Atlanta Flames record is 117 points in 1988-89.