The 26-year-old was a surprise omission when Australia released their list of centrally-contracted players, with injury-prone duo Ryan Harris and Patrick Cummins among the pacemen preferred by the selection panel.
"I would still love to play a part in the Ashes - nothing has changed from that point of view," said Bird. "I'm just going to focus on my rehab and focus on getting back on the park."
Bird took 11 wickets at 16.18 in two Tests against Sri Lanka this winter before succumbing to stress fractures of the back and returning home from the Indian tour which saw Australia go down 4-0 in the Test series.
Bird's manager Tony Connelly is now talking to several county sides and hopes to secure a short-team deal soon.
"He's obviously disappointed but the plan is to get him back bowling in the next month or so and try to get over to England and bowl in those conditions and get in the Ashes that way," Connelly said.
"If he plays Tests he will get upgraded (to a contract)."
The fast bowler will tour Britain this summer with the Australia A squad prior to the Ashes.