Federal allocations of coronavirus vaccine to states and other jurisdictions are expected to increase by about 16 percent next week, easing shortages that have intensified nationwide without fully alleviating supply problems.

Jeff Zients, coordinator of the White House’s covid-19 response, is expected to inform governors of the increase on a call Tuesday afternoon, according to two people familiar with the situation who spoke on the condition of anonymity because they were not authorized to discuss it.

The weekly allocation is forecast to go from about 8.6 million doses to about 10 million doses. The vaccine is distributed on a population basis among 64 jurisdictions, including 50 states, eight territories and six major cities.

Zients is expected to stipulate that the increased supply will come from releasing more doses of Moderna’s vaccine — one of two authorized for emergency use in the United States. The other available product, also a two-dose regimen, was developed by Pfizer and German company BioNTech.