SAN JOSE — Cohesity, a fast-expanding technology startup, has decided to widen its footprint dramatically in downtown San Jose by agreeing to lease enough space for hundreds of new workers in the urban core of the Bay Area’s largest city.

The San Jose-based tech firm, which provides cloud-based data storage services, has leased 60,000 square feet in the RiverPark Towers complex of two office high rises, which are perched alongside the banks of the Guadalupe River on West San Carlos Street.

That’s potentially enough space for about 300 Cohesity employees, or even more.

With the new 60,000-square-foot lease, Cohesity took three floors in RiverPark Tower. Cohesity was already leasing 99,000 square feet in five floors in RiverPark Tower 2.

The new rental deal was arranged through Newmark Knight Frank brokers Phil Mahoney, Anne Ralston, Mike Saign and Joe Kelly.

“This major expansion reflects the increasing demand generated by many tech brands and their growing employee base,” said Ralston, a senior managing director with Newmark Knight Frank. “We were able to meet Cohesity’s specific needs by structuring a deal ideally suited for their growth cycle.”

Some huge tech companies such as Google and Adobe are actively laying plans for major expansions in downtown San Jose that would collectively create thousands of new tech jobs.

But smaller tech firms such as Cohesity also have been able to find fertile ground for expansion in downtown San Jose.

“We are loving it in San Jose,” said Jenni Adair, a Cohesity spokeswoman.

The Cohesity growth efforts in downtown San Jose are part of an overall expansion of the company worldwide.

“We are planning to nearly double the size of Cohesity to 1,500 employees within a year,” Paul Whitney, chief people officer with Cohesity, said in December.

The RiverPark towers complex is now 97 percent leased, according to Newmark Knight Frank. Among the new tenants: WeWork, the co-working giant, formally moved into its offices spaces in one of the RiverPark towers in February.

The new offices for Cohesity, in both towers, have been geared to appeal to the skilled tech workers the company seeks to retain and recruit.

With a central courtyard between the two towers, along with sweeping vistas of the Santa Clara Valley, as well as the riverside setting, the development is akin to a high-rise campus in the urban setting of downtown San Jose.

The towers are near the San Jose Center for the Performing Arts, San Jose Convention Center, SAP Center and the Diridon train station.

“This project has all the amenities tenants require in one of the hottest spots for tech in Silicon Valley,” Ralston said.