Scotland's biggest teaching union the EIS said a new offer would need to be significantly improved.
If this happens, they will hold a meeting later in the week to agree a new deal before it is presented to unions.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 in November last year. Since then the EIS and other unions have staged a series of walk-outs.The next national strike is due on 28 February and 1 March. 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."