The Parkhead chief executive will throw his weight behind Lennon's fight to clear his name against the three Notices of Complaint he is currently facing.
Firstly, he was pulled up for comments made about referee Willie Collum's decision not to award a penalty at the end of the Scottish Communities League Cup final. The second charge is for an alleged altercation with referee Callum Murray at half-time at Ibrox last week, and the latest for comments perceived to have been made about the match officials for this week's game against St Johnstone.
The last case has seen Compliance Officer Vincent Lunny write to the Hoops boss regarding rule 69, which prevents managers commenting on referees before games.
Lennon's forthright views have brought him to the attention of the SFA before, but when asked if he believed they had a vendetta against his manager, Lawwell said: "Not at all."
Lennon insists he looks forward to giving his version of events, and Lawwell said: "We are taking the appropriate advice and we will make the appropriate representations at the right time."
Cha Du-Ri has lost his appeal against the red card shown to him at Ibrox last weekend and will now serve a one-game ban, ruling him out of Sunday's visit of the Saints.
Lawwell said: "Obviously, we think it was the wrong decision and we're disappointed."
Victor Wanyama will also begin his two-match ban for being sent off in the Old Firm game, and it has been confirmed that Celtic will have to wait a few more weeks to get their hands on the SPL trophy, even if they clinch it this weekend.
An SPL spokesperson said: "Should Celtic win the SPL this weekend, the trophy will be presented to the club at an appropriate post-split home match."