Full interview on Five Live Sport from 2000 BST on 29 May
The head coach of British men's tennis wants to see at least four players in or around the world's top 20 by 2012.
Andy Murray is currently the only Briton in the top 50 but Paul Annacone says his aim for 2012, the year of the London Olympics, is realistic.
"At 2012 I hope there are four to seven players knocking on the door of the top 20," Annacone told Five Live Sport.
"Behind that I hope there will be more players ready to springboard into the elite level of the pro ranks."
Since Roger Draper's appointment as chief executive, the LTA has undergone a radical restructure, recruiting some of the world's best coaches in a bid to revive Britain's tennis fortunes.
LTA COACHES & WHO THEY HAVE WORKED WITH
Andy Murray, Andre Agassi, Andy Roddick
Roger Federer, Marat Safin
Pete Sampras, Tim Henman
Amanda Coetzer, Barbara Schett, Daniela Hantuchova
Murray is Britain's top-ranked men's player, while Henman, coached by Annacone, has slipped out of the top 50 as he nears the end of his career.
Women's tennis is in an even poorer state, with only two players inside the top 200 and the pressure is on the LTA to deliver success after spending £40m on a new National Tennis Centre in Roehampton.
Henman believes British players can no longer blame the system if they fail to make the grade.
"There are absolutely no excuses now," Henman told Five Live.
"There are plenty of other countries that can produce players without these facilities and without the backing from their federations.
"The responsibility still lies with the players themselves but they have everything they need.
"There's a new standard that's been set and if you don't come up to that standard, you're not going to be invited back and that's the way it's got to be."