Caulker is getting his career back on track at Dens Park after moving north of the border last month.
The 26-year-old centre-back played for England in a 4-2 friendly defeat by Sweden in 2012 but qualifies for Scotland through his grandmother.
He said: “I spoke to Craig Levein when he was Scotland coach a few years ago when I was 18 or 19. I wanted to try England at the time and I was in and around the squad so it wasn’t right for me then. Of course, I would never discount it, though. Playing at any international level is an honour so if it became available in the future it is something I would definitely consider.”
The former Queens Park Rangers player is enjoying a more relaxed pace of life since signing a one-and-half-year deal with Dundee. He added: “I am living with my auntie and uncle in Kinross. They are a great help to me as I can’t drive at the moment.
“It was the whole package really about coming here – [Dundee manager] Neil McCann, getting game time and having my family around me as support.
“Kinross is good if a bit different from London! It is nice as it is peaceful and just away from everything. You just train and go home.”