Dollman, who spent two years with Newport Gwent Dragons before moving to the Chiefs in 2009, was handed his first international call-up back in May for the two-Test tour of Tonga and Samoa in June.
The 32-year-old, who replaced injured Cardiff Blues teenager Rhun Williams in the squad, then had to withdraw from selection after injuring his knee in Exeter's Premiership final win over Wasps.
Now back to full fitness, the full-back, who can also play centre, wing and fly-half, is hoping his chance to represent his country has not passed him by and he will do everything to impress the selectors on the domestic stage.
"Hopefully I can perform and contribute for Exeter in a good way which shows me in a good light and you never know I may get a call up again," Dollman told BBC Sport. "That feeling's never gone away that I'd like to play for my country.
"But it's one of those old adages that you've got to carry on with the day job and look after those bits first."