The midfielder missed Celtic’s 6-2 SPL home win over Dundee United at the weekend with an abductor problem and will miss the trip to St Johnstone tomorrow.
Brown, however, has been bothered by an ongoing hip problem this season which was thought at one time to require surgery, but both problems are to be addressed.
Hoops manager Lennon said: “Scott will be seeing a specialist regarding his abductor and we will wait on the outcome of that.
“We will have a look at what he had before and he might require surgery, we are not sure yet, we will see what the specialist says but hopefully that won’t be the case.”
The Hoops have a healthy 18-point lead at the top of the table, with second-placed Motherwell also in action at home to Dundee United.
The Steelmen leapfrogged Inverness at the weekend after they defeated the Highlanders 3-0.
Well striker Michael Higdon, who scored a brace, wants his side to cement second spot.
“We want to carry on the way we are going,” said the Liverpudlian. “We’re in a good position and have a couple of games in hand on the teams around us.
“It’s good we have a game coming up on Tuesday because we would rather play than train, especially when we are on winning form.
“We just want to go out and express ourselves, and I thought we did that (against Caley Thistle) with some outstanding performances.”