The Sheffield Green Party has called on the council to withdraw its backing for HS2 and focus on better transport links with northern cities.
Green councillors will present a motion to the full council meeting next week, saying money would be better spent improving regional rail networks and routes over the Pennines.
In a motion presented to the chamber next week, the Green group on Sheffield Council will say they believe the proposed HS2 stopping at Midland Station will 'not provide the economic benefits' the Victoria Station option claims.
The Government initially wanted a HS2 hub at Meadowhall but changed their preferred option to Sheffield city centre after a campaign by The Star and city leaders.
The group will call for improvements between key northern cities such as Manchester and Leeds instead of a faster link-up to London.
Speaker for the Sheffield Green group, Coun Rob Murphy said: "The newly-proposed South Yorkshire route for HS2 has removed any pretence that this project is about freeing up crowded lines.
"The use of existing lines approaching Sheffield and the lack of a main-line station means we are paying the price but not getting the promised benefits. Over budget, unwelcome and riddled with problems, it is time the government called an end to this grand folly.
"Our region’s main bottleneck is the short distance between Sheffield and Manchester and we should be prioritising this important but neglected route rather than worrying about shaving a few minutes off the journey to London for people in Leeds and Newcastle."