According to the study, the marks fade but the raised lines remain. However, the lesions appear to be harmless.
Since the condition has only recently been recognised, it is unclear whether scarring will be permanent.
Parents have been asked to choose socks for their infants very carefully and make sure that the sock isn't too tight.
"Sock line lesions appear to have a benign course," the Daily Mail quoted Dr David Berk, one of the report's authors as saying.
"However it is important that we recognise the disorder to allow us to collect data and cases, to better characterise how lesions develop," Dr Bark added.
"While these bands are generally harmless, it is valuable for researchers to be able to discuss this possible new phenomenon in relation to already established skin disorder," Dr Colin Holden of the British Association of Dermatologists said.