Ross Graham, 22, of Edinburgh, died at the scene on Sunday afternoon on the city’s Wester Hailes Road.
A 26-year-old car passenger, Christina Vibert, was taken to hospital, where she is being treated for serious injuries. The lorry driver was uninjured.
His family said: “Ross was a much-loved son, grandson and brother. He was also a doting father to Cali. We are all deeply shocked and pray Christina will pull through.”
According to reports, Mr Graham and Ms Vibert, who were a couple, welcomed baby daughter Cali into the world less than two months ago.