On March 20, USCIS announced the temporary suspension of premium processing for all Form I-129 and I-140 petitions due to the coronavirus (COVID-19). On May 29, USCIS announced it will be resuming premium processing service in multiple stages.
June 1:
USCIS will accept premium processing requests for eligible I-140 petitions as of June 1.
June 8:
Nonimmigrant visa petitions requesting extensions of status (including requests for change of employer) filed prior to June 8, 2020 will become eligible as of June 8, 2020.
June 15:
Nonimmigrant visa petitions by cap exempt employers and for certain foreign medical graduates will become eligible as of June 15, 2020.
June 22:
Nonimmigrant visa petitions for cap subject petitions, and filing a concurrent premium processing request with a nonimmigrant visa petition will become eligible on June 22, 2020.
Please note there is a caveat in that USCIS has specified in this announcement that these dates are subject to change. For more information, see the USCIS update at https://www.uscis.gov/news/alerts/uscis-resumes-premium-processing-certain-petitions