Steris Corporation said that it had offered to acquire a British provider of outsourced equipment-sterilization services, Synergy Health, for around $1.9 billion in stock and cash.

Steris Corporation would reincorporate in Britain in what would be the latest proposed inversion deal.

This deal would create a provider of sterilization and infection prevention services with around 14,000 employees and combined annual revenue of $2.6 billion.

Ohio-based Steris has offered to pay $31.34 or about 19.50 pounds per share in stock and cash for Synergy Health valuing the company at approximately $1.9 billion. The offer is 39 percent above Synergy’s closing price on Friday.

Synergy Health’s shares rose approximately 30 percent in midday trading in London on Monday.

Steris’ chief executive and president, Walter M. Rosebrough Jr. said that together, they create a balanced portfolio of products and services that can be tailored to best serve the evolving needs of their global customers.

Steris would reincorporate in Britain after the transaction. However, the company would retain its operational and American headquarters in Ohio.

For the combined company Mr. Rosebrough would serve as the Chief Executive Officer. The company said that, Mr. Rosebrough including most members of senior management would continue to reside in northeast Ohio.

This deal comes at a time when inversions are facing increased political scrutiny. The Treasury Department has introduced new rules to make it harder for companies that go through inversions to get access to overseas profits. This is leading some American companies to reconsider going forward with such deals.

For each share of Synergy Health that investors hold would receive 0.4308 of per share and £4.39 in cash in the combined company. Following the transaction, shareholders of Steris would own approximately 70 percent of the combined company.

Steris said that it expected the deal to yield $30 million in annual pretax cost savings, which would be partially phased in fiscal year 2016.

Synergy Health’s chief, Richard Steeves said that the combined entity brings together the strengths of both businesses; allowing New Steris to accomplish much more than either one of them could do separately.

Synergy Health which is based in Swindon, England, posted revenue of £380.5 million in its 2014 fiscal year. Synergy Health’s business includes providing sterilization services to pharmaceutical companies, medical equipment makers and hospitals. Synergy Health also provides infection prevention services such as cleaners for hard surfaces in a medical setting, hand sanitizers and fresh linens.

Synergy Health’s deal is subject to approval by shareholders and regulatory bodies.