Jim Baxter, an Aslef executive committee member, said their negotiating team thought the latest offer from ScotRail was acceptable.
He said: “Our ballot for industrial action has now been withdrawn and a referendum of our members, on the offer, will now be held.
“The negotiating team and executive committee are recommending that members accept this offer.”
Their ballot will close on 25 September.
ScotRail has been operating a reduced service since July, when a number of drivers stopped working extra Sunday shifts and overtime in the pay dispute.
About 600 services were cut under the provisional measures, leaving 1,660 trains operating between Mondays and Saturdays.
Peak-time services in the morning and late afternoon were halved from four trains per hour to two, external.
The publicly-owned firm was embroiled in a long-running dispute with unions in the summer of 2022 which saw overtime bans and full strikes across the network in Scotland.
Details of the new pay offer have not been made public but it is understood all staff would get a 4.5% rise, backdated to April.
