Delmore played 283 games in the National Hockey League (NHL), recording 43 goals and 58 assists for 101 points.
While playing for the Nashville Predators during the 2002–03 NHL season, he tied Sergei Gonchar and Nicklas Lidström for most goals (18) by a defenseman.
During the 2004–05 NHL lockout, Delmore played in Germany with Adler Mannheim of the Deutsche Eishockey Liga (DEL).
After 47 games with the Falcons, Delmore was traded by the Lightning (along with André Deveaux) to the Atlanta Thrashers in exchange for Kyle Wanvig and Stephen Baby on February 1, 2007.
On October 24, 2010, Delmore left again for Europe to sign a one-year contract with Norwegian team Lørenskog IK.