The Ireland manager was being driven by his assistant Roy Keane when they were involved in a collision.
Neither were seriously injured according to Sky Sources. The pair are said to be shaken and will be monitored by the team doctor over the next 48 hours, but the Irish team is due to train as normal on Wednesday.
Police attended the scene and tweeted: "Dublin Traffic - Delays M50 northbound between J6 Blanchardstown & J5 Finglas following a collision, Gardai at scene."
A spokesman for the Football Association of Ireland said: "We will need to keep an eye on them to see if any symptoms appear within the next 48-hours - like you normally would with these things, but we are very confident that everything is ok.
"They are a bit stiff and a bit shaken but all is ok. We will have training as normal tomorrow."
Lanes have since reopened at the scene after it was cleared.