In response to Soccer Insider, the Blues are considered one of a number of golf equipment eager on the six-goal ahead.
Home signed for Eastleigh on a free switch in August after being launched by Studying.
He made only one look for the Royals and had mortgage spells with Swindon and Dagenham & Redbridge earlier than his departure.
Home has loved a positive begin for the Spitfires, who sit fifth within the Nationwide League desk.
The 21-year-old’s scored six targets in eight appearances this season. His newest effort arrived in Eastleigh’s 3-1 win at Yeovil on Tuesday evening.
Home’s type in entrance of purpose has reportedly led to Pompey’s consideration.
However League One promotion rivals Ipswich City and Charlton Athletic are additionally supposedly holding tabs on the Scotland under-21 internatonal.