Jimmy Sainte, 29, assaulted the girl at a flat in Glasgow when she was aged seven and eight and his victim told a court that he had raped her up to twice a week.
Sainte carried out the sex attacks when he was babysitting the girl between November 2007 and June 2009.
A judge told him at the High Court in Edinburgh: "The crime of rape of a pre-pubescent girl child is very serious."
Sainte, of Little Queen Street, Dartford, Kent, was brought up in Nigeria but travelled to Britain from France.
The rape was committed at a flat in Charing Cross in Glasgow.
The victim told a friend about the abuse while she and others were playing "telling secrets".