The opportunity for a cycle route through the park was raised at previous public consultation events.
A scheme has been designed which would provide a segregated route through the park.
The scheme routes from the north where it would connect into the new park area, east of the cricket pavilion and then along the western side of the park, avoiding the busiest parts of the park.
The scheme is currently being reviewed by Oxfordshire County Council and Oxford City Council and could be delivered by Oxford City Council via Section 106 contributions.