The 14-year-old girl was attacked in the Burpham area of Guildford at about 4pm last Thursday.
The rape took place in a small wooded area just off the London Road, Burpham between the junctions with Abbotswood and Weylea Avenue.
Detectives say they are grateful to those members of the public who have already contacted them, but the area was very busy at the time and they are convinced other people could have information which may help catch the rapist.
The suspect is described as slim, white, tanned, in his early 20s with short scruffy brown hair and stubble on his chin. He was wearing a brown/mustard coloured hoodie-style top with a light coloured T shirt underneath, baggy skateboarder style denim jeans and grubby white trainers.
Police say they would like to hear from anyone who thinks they recognise the description or the e-fit.
House-to-house enquiries are continuing in the area and there are increased patrols by Safer Neighbourhood officers.
Detective Inspector Karen Hughes said: "This was an horrendous experience for the victim and specially trained officers are working with her, providing support and ensuring everything is done to bring this offender to justice.
“We have released a description of a man who was in the area at the time who we would like to identify as he may be able to assist us with our enquiries. Anyone who thinks they may have seen him in the area or that they may be able to identify him should contact Surrey Police.
“We have also released an e-fit and again I appeal for suggestions as to identity. I should stress that we are looking to eliminate this man from our enquiries as he was seen in the area around the time of the offence.
“While this type of offence is extremely rare, until the offender is apprehended we can’t discount the fact that he may re-offend.”
Anyone with information is urged to call Surrey Police on 0845 125 2222 or anonymously via Crimestoppers on 0800 555 111