The Hammers are keen to add the Wimbledon man to their already powerful forward line that includes the likes of Jermain Defoe and Freddie Kanoute.
Roeder is keen to improve the Hammers squad, despite the financial pressures upon him to sell players. West Ham are hot favourites to win the Division as they have a squad packed full of international stars.
The West Ham boss, who recently recovered from a serious health scare, feels Connolly is the perfect man to aid the Hammers bid for Premiership football given his impressive strike rate.
"His ratio of goals to games is extremely high and he is the sort of character I would want to bring to the club," Roeder told whufc.com.
"He is fiery and strong mentally - and he lives for scoring goals.
"A lot of clubs wanted him and it has been extremely hard work to get David to West Ham. But once he knew we were interested he really had the flavour to join us, and he showed a lot of patience to make it happen.
"I am really pleased to have secured his services, subject to a medical of course, and hopefully he is the first of many."
Whilst the transfer is not yet completed the deal should be finalised without a hitch, such is the 26-year-old's desire to play for the East London side.
When West Ham visit the Madejski Stadium on April 3rd Connolly will be in for a rough reception having rejected Reading for the chance to play for a 'bigger' club.
With Defoe and Kanoute all but guaranteed of their first team places, it is unlikely that Mr Connolly will even get a regular place in the first team at Upton Park. Football nowadays is dictated by money...