A time-sensitive plan from Mayor Michelle Wu to shift more property tax burden onto the business and commercial sector will not reach Gov. Maura Healey’s desk this week after the Senate broke for the week and a House Republican shut down a Thursday session with a procedural tactic.

Wu has said the measure is urgently needed, but a lawmaker who does not represent any part of Boston was able to stop the bill from advancing, at least temporarily.

In a rare second appearance before state lawmakers, Boston Mayor Michelle Wu Wednesday made another push for the authority to temporarily shift more of Boston’s property tax levy onto commercial and industrial property owners.