Local students attending some of Connecticut’s top colleges, including Yale, may lose access to state scholarship funding as part a proposal from Gov. Dannel Malloy.

Malloy, who testified before the General Assembly’s Education Committee on Tuesday, is seeking to cut $6.7 million in funding from the Connecticut Independent College Student Grant program (CICS), which provides need-based scholarships to Connecticut students attending in-state private colleges. Under Malloy’s proposal, Connecticut schools with endowments of more than $200 million would lose CICS eligibility — the six colleges who fit that criteria are Yale, Wesleyan University, Connecticut College, Trinity College, Quinnipiac University, and Fairfield University.

The same scholarship program was cut last year under Malloy’s budget from $23 million to the current level of $18 million. And the governor’s proposed cuts would bring program funding down further to $11.3 million. Last year CICS awarded scholarships to more than 5,400 students at 16 different schools.