The two cyclists crashed on the Telford Way bridge at about 7.20pm on Thursday, November 9.
One cyclist was travelling towards the Heathgates traffic island in the cycle lane while the other was travelling from the island towards Monkmoor when the two crashed. One of the cyclists suffered serious facial injuries.
Police enquiries are ongoing but officers would like to speak with any witnesses to the incident or people who saw the bikes and the manner in which they were being ridden.
Police would also like anyone who has dashcam footage to come forward.
Anyone who can help is asked to call West Mercia Police on 101 quoting incident number 464S of November 10. Alternatively, contact Crimestoppers anonymously on 0800 555111 or at crimestoppers-uk.org