A man deceived a woman about his appearance on a dating website and then engaged in sexual activity with her, but only on the condition she kept her eyes closed, a court has heard.

Deepak Dhankar, a man of Indian descent and an average build, deceived the woman into believing he was a muscular, blond-haired Caucasian man named "Jamie", during exchanges on dating website Oasis, the County Court heard on Tuesday.

The pair later arranged for Dhankar to visit the woman at her home, where the man let himself inside, found the woman naked in bed and "touched her sexually", prosecutor Russ Hammill told the court.

Mr Hammill said the woman kept her eyes closed while with the man, and that it was only when they were in the shower - when the woman heard one of her children stir in bed - that she caught a glimpse that the man's skin was dark.

Dhankar, 29, pleaded guilty to one charge of procuring sexual penetration by fraud for his offending of October 2012. The court was told the woman consented to the sexual activity, but only because she thought she was with "Jamie" at the time.