The Celtic boss was called into the official's room after Sunday's 3-1 Clydesdale Bank Premier League defeat at Motherwell. The Northern Irishman was already serving a three-match touchline ban at Fir Park which dated back to a run-in with Norris following last season's 2-1 William Scottish Cup semi-final defeat by Hearts at Hampden.
Lennon was handed a six-match suspension for running on to the pitch after the game to confront Norris in his anger at a penalty award against Celtic, and the three-match part of it which was suspended was triggered earlier in the month when he was found guilty of using offensive language during a match at St Mirren Park on 31 March.
The former Celtic skipper was in the stands to see referee Norris award a second-half penalty to Well when Hoops defender Charlie Mulgrew tangled with Henrik Ojamaa just inside the area. Michael Higdon converted the spot-kick to give the home side a 2-1 lead.
It is understood Lennon had words with Norris in the tunnel area and, asked after the game if he had spoken to the referee, Lennon told Sky Sports: "He called me into his room. It was about a number of things but we'll leave that confidential for now."
On whether he might be in further trouble with the authorities, Lennon added: "I don't know. Maybe."
The Parkhead boss has to wait to see what, if anything, is contained in Norris's report, which has to be submitted to the Scottish Football Association within 48 hours of the game.
Meanwhile, Hoops midfielder Tom Rogic is hoping to win a place in Lennon's side for the William Hill Scottish Cup final against Hibernian next month. The Australia international, 20, has been on the fringes since signing from Central Coast Mariners in January.
He was one of six changes made by the Parkhead manager as he rested some of his squad with the showpiece finale in mind and the early return for next season's Champions League qualifiers.
Rogic said: "Anything's possible. I'll do whatever I can in training and in the matches to come to hopefully try and earn a spot in the team. You always want to play so you've got to be ready to take your chance."