The fee is believed to be in the region of £16 million (€18 million) plus add-ons, according to reports.
Tottenham manager Jose Mourinho is understood to be an admirer of Doherty and he wants to strengthen his defence.
Doherty, 28, can operate at right-back or right wing-back and this versatility is also said to appeal to Mourinho. If the transfer goes through, it could provide a cash windfall for Bohemians.
Cash windfall for Bohemians
The Dubliner joined Wolves from the League of Ireland side in a €60,000 deal in 2010 but a 10 per cent sell-on clause was included in the agreement.
This means that Bohemians could be in line for a payment of €1.8 million.
Doherty scored seven goals in 50 appearances for Wolves last season, including three goals in the Europa League and four in the Premier League.