A new pay offer to try to resolve Scotland's teacher strikes is expected to be made this week.
Scotland's biggest teaching union, the EIS, said any new offer would need to be significantly improved before the action is called off.
Unions want a 10% rise, but the current proposal is worth between 5% and 6.85% for most staff.
Teachers have held a number of strikes across Scotland since November and more dates are planned for later this month.
The BBC says council leaders expect to hear today whether the Scottish Government will give them money to increase the existing pay offer.
If this happens, they will hold a meeting later in the week to agree a new deal before it is presented to unions.
Dispute
The pay dispute centres on the pay rise which teachers were due to receive last April.
Any offer has to be affordable to all 32 of Scotland's councils.
Their hope would be that the new offer would lead to a suspension of strike action while a two year pay deal - which would also cover the 2023 pay offer - was negotiated.
The most recent pay offer was made before the first strike by the EIS last November.
Since then, the EIS and other unions have staged a series of walkouts.
Nearly all pupils in Scotland have lost three or four days' worth of education.
Strike dates
The next national strikes are due on February 28 and March 1.
The EIS is also planning targeted strikes at schools in a number of areas - including the Glasgow constituency of First Minister Nicola Sturgeon.
Education Secretary Shirley-Anne Somerville said: "We are committed to resolving this dispute as soon as possible and are progressing work for an improved offer to be put to teaching unions."
- Rail workers will be balloted "soon" on whether to stage fresh strikes later in the year, the RMT union's general secretary Mick Lynch has said.
Mr Lynch told the BBC the union wanted to "keep talking" about pay, but felt the government was "trying to make an example out of the railways".
On Friday, the union rejected what was described as a "best and final" offer from the body representing rail firms.
The UK Government and Network Rail have condemned the decision.
Mr Lynch branded the offers "dreadful", while Transport Secretary Mark Harper called the union's decision "a kick in the teeth for passengers".
The long-running dispute over pay, job cuts and changes to working conditions has led rail workers from a number of unions to strike over numerous days since the summer.