Hezi Levi, the ministry's director-general, did not provide details about the number of doses Israel was looking to hand over in an apparent swap arrangement.
In an interview with Radio 103 FM, he confirmed that such a deal had been discussed with Britain last week but said an agreement had not materialized and was "a thing of the past."
"We are negotiating with other countries," Levi told Radio 103 FM, without naming them. "We are dealing with this day and night."
He said the doses expire on July 31 and that any deal would have to win Pfizer's approval.
A Pfizer spokesperson said the company "is happy to discuss potential donations requests of the Pfizer/BioNTech COVID vaccine between governments on a case-by-case basis, particularly if this helps ensure the vaccine is used to protect people from this disease."
This is a developing story.