Construction projects at public colleges and universities – as well as upgrades at a soldiers’ home, State Police barracks and Boston courthouse – will not be able to proceed unless more borrowing is authorized, Baker administration officials told lawmakers Thursday.

“We have a lot in the pipeline now. We really need immediate authorization so that we can move forward,” Administration and Finance Secretary Michael Heffernan told the House Bonding Committee as he testified in support of a five-year, $3.795 billion borrowing bill.

Filed by Gov. Charlie Baker on May 31, the bill languished over the summer as the Legislature was in recess.

The legislation (H 3730) includes $950 million for higher education projects, $880 million for construction and renovations at state office buildings, $700 million for health and human services facilities, $550 million for public safety facilities, and $375 million for courts.

Heffernan highlighted the need to address deferred maintenance at the state’s 29 public higher education campuses, saying many college and university buildings were built in the 1970s and need work.

“These are older buildings, but you need to put deferred maintenance into these buildings so they can continue to serve their purpose and be upgraded for a 21st-century college campus,” Heffernan said. “Age equals deferred maintenance. I’m a product of the ’60s, not of the ’70s. I have a lot of deferred maintenance, personally.”