The St Mirren manager believes his captain is missing too many games as a result of on-field indiscipline and urged Goodwin to try to cut out the daft bookings so he can remain a regular pick in the Paisley side.
The Irishman picked up his first yellow card of the season during last weekend's 1-1 draw with Kilmarnock and Lennon wants the player to try to emulate some of the best defenders in Europe who rarely dive in or make last-ditch tackles.
"Jim's aim should be to get through a season without picking up a suspension. That should be his goal," said the St Mirren manager. "I think we lost him for eight or nine games last season which is unacceptable.
"He's not a dirty player, he's a competitive player. I see that every day in training. What he just has to do is to recognise which balls you can go for and which ones you can't. If you look at the top defenders in the world now it's very rare that they get booked as the timing of their tackles is excellent and they stay on their feet. They know the dangers if they get it wrong.
"Jim, over the last few seasons, hasn't done himself justice in terms of [his discipline]. In the long chats that we've had throughout the last two years it seems that the penny has finally dropped, and then something else seems to happen. So we have to constantly remind him."
Goodwin will likely be in the side this afternoon when St Mirren take on Ross County in Dingwall. The Highland side have lost all three of their league matches so far - conceding nine times in the process - but have yet to surrender a belief they will come to enjoy their second season in the top flight.
That has survived uncomfortable defeats by Partick Thistle and St Johnstone, performances that Rocco Quinn still bridles at. The midfielder is confident that County's form can be rectified quite simply, though.
"We've had two bad performances," said the 26-year-old. "We just need to knuckle down and get out of it - there is no other way to deal with it. There is definitely no panic from us. We have lost three games but they are done now and we have to look forward. It is safe to say a lot of teams will be having bad results here and there."
That sang-froid will feel necessary ahead of the visit of St Mirren today but Quinn is also pressed to make amends for letting down his manager, Derek Adams. "The worst thing was probably letting him down," he said. "We disappointed him and we could see it in his face. That was pretty hard to take and he certainly didn't sugar coat it."