A final decision will now go to another council committee in July.
Councillors also looked at keeping things as they are or closing the museum but chose to pursue investment instead.
The plan aims to keep the museum open and secure its future as part of the area’s cultural offer.
Councillor Clive Woodbridge, Chair of the Community and Wellbeing Committee, said:
“Bourne Hall Museum is a much-valued cultural asset for our borough. Recent reviews have made it clear that for the museum to remain relevant and sustainable, we need to invest in its future.
“With Local Government Reorganisation on the horizon, ensuring a lasting legacy is more important than ever. Investing in Bourne Hall Museum will ensure that it continues to thrive, contributing to the wider cultural offering in East Surrey; preserving local heritage, and providing opportunities for learning and community engagement. I hope the Strategy and Resources Committee shares this vision.”
