"We're two competitive guys, that's gonna be, like, really fun. Probably gonna ride to the game together," Marcus told ESPN's Ohm Youngmisuk on Saturday.
"For us to be together, it's just icing on the cake," he added.
Marcus also said he'd want to live with Markieff if the Lakers do acquire him, according to Youngmisuk.
Markieff reportedly plans to sign with the Lakers after reaching a buyout agreement with the Detroit Pistons on Friday. He still has to clear waivers Sunday before he's eligible to join the team, though.
The Morris brothers played together for three seasons on the Phoenix Suns from 2012 to 2015.
The Lakers and Clippers, who currently occupy the first and third seeds in the Western Conference, respectively, will face each other two more times this season.