Boris Johnson is coming under pressure to make sure Sutton benefits from both trams and the planned Crossrail 2 railway.
Mr O'Connell has told Mr Johnson the two measures could create a triangular link that would significantly improve public transport in the area.
Crossrail 2 is a planned rail link between Alexandra Palace in north London and Epsom south of the capital. In the plans, which are at an early stage, the line will go through Worcester Park but not stop there. Crossrail 2 is due to open in 2029 but there are calls to have it opened earlier.
The Tramlink serves Croydon and parts of Merton and there are plans to extend it with Sutton among the areas working with Transport for London (TfL) to come up with a plan.
Mr O'Connell said: "I asked the mayor about it at mayor's question time this week because I wanted to find out his thoughts and ambitions about opening it early and whether we can get a stop at Worcester Park.
"Obviously, a stop at Worcester Park makes sense for lots of reasons, but then if we can triangulate that with a fast bus service linking it to the Tramlink then it will make a big difference to transport links in the area."
Mr O'Connell said Mr Johnson was supportive of the idea in theory when it was presented to him, although extending the tram to Sutton will be dependent on the council coming up with a business case and significant funding.
Mr O'Connell added: "Hopefully the council will work with me, Boris and TfL and we can make this a reality."