Speaking to The Daily Telegraph, Edwards explained he was hoping to cure the difficulties the England outside half has been having with kicking out of hand this season.
Cipriani has conceded a number of tries for both club and country through having kicks charged down and Edwards has decided to do something about it.
"It's becoming a real issue. Charge-downs have become a nightmare for us," Edwards told The Telegraph.
"We'll be drilling Danny and others this week. Ten minutes in practice is worth an hour of talking about it - we've got to eradicate it from our game.
"Like any technical issue, if it happens repeatedly, it's something that has to be addressed and something that has to be drilled accordingly. You get confidence back on the training ground by going through the drills, such as kicking the ball high over the posts and creating pressure situations."
It won't just be Cipriani who goes through the new drills. Edwards confirmed that other players at Wasps would benefit from the extra coaching.
Cipriani is seen as one of the brightest talents in the northern hemisphere, but he found himself being relegated to the replacements bench by England manager Martin Johnson at the end of the November Test series.
He has been forced to battle with Dave Walder for the No 10 jersey at his club this season since returning from a broken leg and now faces a battle ro regain his sparkling form of last season that made him look a strong candidate for the British & Irish Lions side this summer.
Edwards believes part of the problem with Cipriani's technique - he has conceded three tries through charge-downs while playing for England - is to do with the modern-day tendency to 'drop-punt' the ball rather than use the more traditional screw kick.
"There is no doubt that using a drop punt kick (originally developed in Aussie Rules) makes you more vulnerable to the charge-down. The negative in using the drop-punt is that the release is not as quick and the trajectory is not as high
"The positive is that it is a bit more accurate as well as reliable. It is not just a problem for Danny - a lot of kickers are affected by this.
"Drop-punters can be a nightmare for defence coaches. Kickers the world over use it, although I've noticed that Lee Byrne and Stephen Jones wwith Wales seem to be going back to the spiral kick."