Norwegian: pronounciation of ø



I started learning Norwegian using 'Teach Yourself Norwegian' and it said that ø is pronounced like the 'ir' in bird. Since then I have always thought that ø had an 'r' sound in it. Is this correct? I have since switched books and it doesn't seem to suggest an 'r' sound. I tried listening to 'møte' on Lexin ordbøker online and I can't tell whether there is an 'r' sound or not.
Any help would be appreciated.
Tusen takk.