Of the 12 people interviewed, 7 (58%) reported contact with a bearded dragon before getting sick.
The CDC and FDA are also investigating a second similar Salmonella outbreak that has sickened 184 people in 24 states.
Fifty-four people have been hospitalized, with no deaths reported.
The outbreak has sickened 109 people in 29 states, according to the CDC.
The illnesses were caused by Campylobacter, Salmonella, E coli, or Listeria monocytogenes.
The products, which appear pre-browned and cooked, are often cooked from a frozen state, which increases the chance that the raw chicken component may not reach a safe internal temperature.
Salmonella was detected in 52% of commercial farm samples and in 19% of backyard farm samples.
So far 12 illnesses in 7 states are confirmed in the outbreak.
Data on Salmonella and Campylobacter bacteria from people and food-producing animals show high levels of resistance to commonly used antibiotics.
At least 10 people have been sickened by E coli in an outbreak tied to raw milk cheese, and a Salmonella outbreak linked to charcuterie meats has grown to 70 cases.