The 'Keeping Up with the Kardashians' star, whose four-year marriage has reportedly been on the rocks for months amid allegations the basketball player cheated on her multiple times and is battling a drug addiction, extended an invitation to Lamar to join her family for the celebration at her mother Kris Jenner's house in Calabasas, California.
Despite reports they are headed for a bitter divorce, a source told gossip website TMZ.com that Lamar hasn't decided whether he will attend the dinner party yet.
But a Kardashian insider explained that the door would always be wide open for him because Lamar is family and ''always will be.''
Kris, 58, has also invited her estranged husband, Bruce Jenner, to the family function.
The former couple, who announced their split last month after 22 years of marriage, are surprised anyone would even question whether the Olympic gold medallist would be present.
He reportedly told friends: ''Of course I'm going. It's my family.''
The duo has two biological daughters, Kendall, 18, and Kylie, 16, together, as well as four children each from previous marriages.
However, not all of their kids will be in attendance for the holiday as Kris' daughter, Kim Kardashian, 33, will be celebrating with her fiance, Kanye West, and their daughter, North, in Miami, Florida, where he is currently on tour.
Kris has recently been linked to former 'The Bachelor' star Ben Flajnik, 31, but sources told RadarOnline.com that Bruce ''couldn't care less.''
'Smalls Change (Meditations Upon Ageing)' arrives in April.
The two awards have made for a great 72nd birthday present for the country music icon.