A united Montgomery County Council voted Tuesday for a transportation package that would redesign a controversial multimillion-dollar road project in an area being eyed for the next Amazon headquarters.

The proposal by County Executive Isiah Leggett (D) involves extending the design phase for the Montrose Parkway East project in the White Flint area of North Bethesda by a year to allow for changes in pedestrian and bicycle access.

The move, coupled with a delay in another road project, would free up about $61 million in Leggett’s proposed six-year capital improvements program, which the council must finalize and approve this year. The school system would get $20 million of that money, while the rest would go to other projects, such as a second entrance to the White Flint Metro station, better access to the Forest Glen Metro station, and design and planning for bus rapid transit, Leggett wrote in a memo to Council President Hans Riemer (D-At Large).

Montrose Parkway East, a 1.6-mile roadway that would connect the existing Montrose Parkway to Veirs Mill Road, drew heated discussion at a meeting of the council’s transportation committee this month, with two of the three council members on the panel voting to recommend a delay in funding the project.

Council member Roger Berliner (D-District 1), who chairs the committee, said Montrose Parkway East was on a secret list of $2 billion in transportation projects the state had agreed to pay for if Amazon.com chooses Montgomery County for its second headquarters. (Amazon founder Jeffrey P. Bezos also owns The Washington Post.)