The Celtic manager was found guilty by a Scottish Football Association disciplinary tribunal of entering the "playing zone" within 15 minutes of the final whistle of Celtic's 3-1 Clydesdale Bank Premier League defeat by Motherwell last month while serving a three-match touchline ban.
Lennon's ban for breaking the SFA's rule 205, however, has been suspended until the end of next season and consequently he will be in the technical area against the Easter Road men as his side look to complete the domestic double.
The former Celtic skipper had seen a suspended three-match ban triggered by an SFA charge for using offensive language towards St Mirren captain Jim Goodwin.
Lennon revealed he had been summoned to the Fir Park match officials' room by referee Euan Norris after the second match of the suspension.
Lennon told Sky Sports after the match: "He called me into his room. It was about a number of things but we'll leave that confidential for now."
The SFA's website confirmed the Northern Irishman's latest punishment.
A statement said: "Mr Lennon was found in breach, with a one-match suspension applied. The tribunal suspended the sanction until the end of season 2013/14 and to take effect in the event that Mr Lennon is found in breach of rule 205 within that period."