Live Register figures to be published tomorrow will show an increase of 13,300 people signing on for the past five weeks.
This compares with an increase of 10,900 in December.
When seasonal factors are taken into account the increase for January is 5,800, compared with a seasonal adjusted increase of 3,300 in December.
This brings the headline total for those signing on to 436,900.
The estimated unemployment rate is now 12.7%, compared with 12.5% in December.
The Budget forecast an average unemployment rate of 13.2% for the year.