A charity box safe was stolen from the hospital chapel during the incident which took place at around 5.50am on Sunday, 9 February.
Several enquiries have been made by officers who now believe the man shown in the CCTV images may be able to help the investigation.
He is described as being white, believed to be in late teens or early twenties, with a slim build and short hair. He is reported to have been smartly dressed and wearing black trainers with a white stripe.
It is also believed that a hospital blanket was also stolen.
Investigating officer PC Andrew Waldron said: “Not only is the theft of a charity collection box a callous crime in itself but it was forcibly removed from the wall of the chapel causing significant damage and will be costly to repair.
“The theft has caused a considerable amount of distress and inconvenience and we are determined to find those responsible and bring them to justice.
“As part of our enquiries we have identified one man on CCTV who we would like to speak to in connection with this incident.
“I would urge anyone who recognises the man, or indeed the man himself, to call Surrey Police on 101. Alternatively, information about his identity can anonymously be passed to independent charity Crimestoppers on 0800 555 111.”
If you can identify the man in the CCTV images or you are the person pictured, please contact Surrey Police on 101 quoting reference 45140010679 or the independent charity Crimestoppers can be contacted anonymously on 0800 555 111.