Lawal, along with fellow Strikeforce fighter Antonio Silva and kickboxer Mark Miller, shared their thoughts on the purchase of Strikeforce, as well as potential superfights between the UFC and Strikeforce competitors.
When asked on his ideal matchup, Lawal said he would prefer a bout with the former UFC light heavyweight champion.
"I'd like to see me versus Rampage (Jackson)," he said.
"If he can handle Matt Hamill, and then I win my fight, then we can try and make that happen and I'll shut his mouth up, for real."
Lawal is coming off a recent loss to Rafael Cavalcante, which saw him relinquish his light heavyweight title at Strikeforce: Houston last year.
While the more popular fights seem to be Alistair Overeem versus Cain Velasquez and Georges St-Pierre against Nick Diaz, Lawal's request to fight Jackson could happen sometime in the near future.
While acquisitions are unlikely to occur until next year, should both Lawal and Jackson remain victorious until then, a light heavyweight bout between these two rivals would be inevitable.