Red Hat probably won't get an offer higher than the $190-per-share price from IBM, because rival suitors have already had a chance to bid, according to people familiar with the matter.

Red Hat announced Sunday it had reached an agreement to sell itself to IBM for about $34 billion. As the open-source software developer negotiated with IBM, it also spoke with "all of the logical buyers" including Google, said one of the people, who asked not to be named because the discussions were private.

Google had interest in buying GitHub earlier this year, before Microsoft bought the code-sharing company for $7.5 billion.

Google and other potential bidders had preliminary discussions with Red Hat over the course of several years, the people said. Red Hat CEO Jim Whitehurst told CNBC on Sunday that while Red Hat has had discussions with a number of companies, none of them progressed nearly as far as talks with IBM.

A Google spokesperson didn't immediately respond to a request for comment.

While it's still possible a company could come in with a higher bid, potential suitors view IBM as a safe buyer that won't disrupt Red Hat's operations or dramatically alter the competitive landscape, two of the people said.