Free transport is normally provided for children over eight attending their catchment school, or nearer school, when the distance is more than three miles.
But a review of walking routes to Swanmore College found there was an alternative route from Bishop#8217;s Waltham to the college that met safety criteria and was within the three mile limit.
But councillors are set to hear a confidential plea from the parent for the council to continue providing the service.
The second school transport appeal will be considered by Hampshire County Council#8217;s regulatory sub-committee on January 25.
An investigation by Hampshire County Council found a 2.87 mile route from Hermitage Close to the college on New Road to be safe.
As a result, parents of 21 students received a letter in July last year saying their free transport would be withdrawn at the end of the term in December.
The parent#8217;s application for free transport in September was refused, as was an appeal in November.