Ashford United manager Paul Chambers
Ashford United, Kent's last survivors in this season's FA Vase competition, face a fourth-round trip to Spartan South Midlands side Hanwell Town next month.
Experienced striker Jimmy Dryden scored United's winner for the second successive tie in Saturday's 1-0 victory over fellow SSM side
Tring Athletic at Homelands on Saturday, extending their club record winning run to 14 games.
United will go top of the Southern Counties East League if they win at Cray Valley on Tuesday.
Hanwell beat United's league rivals Lordswood 5-0 on Saturday.
The Middlesex side are second in the table, four points behind leaders Ampthill, who put out another SCEL side, Beckenham Town, at the weekend.
The tie takes place in Middlesex on Saturday, January 18.