In his first season in charge, Cheika saw his men do a 'league double' over the Scots last term, scoring 97 points over the two games, but the Australian reckons this week's hosts will offer a stiff challenge.
He said: "The Borders are a good side who fill the field and play a wide defence. They'll certainly have a go at us and it's a perennial challenge to contain someone like Chris Cusiter.
"We've come off the back of a good win and the situation is very similar to last year when we won in France and had to go up there (to Scotland). I've seen a different attitude from our players this week and this will be another important test and a part of the growth of our individual players."
The next few weeks are vital for Leinster - if they continue their recent winning trend into the Heineken Cup, they could lay the foundations for their qualification for the Cup's knockout stages. Beating the reigning European champions last week was certainly the highpoint of their season to date.
Cheika said of the 27-20 defeat of Munster: "I thought we mixed it up well in terms of our passion and aggression. We stuck at our plan and I was happy with our defence, but we missed a few tackles which you would expect against Munster who are such strong runners.
"We've got to keep our intensity and consistency because we have the Borders, then Gloucester in Dublin the following Saturday followed by Edinburgh away on the Sunday after that."
Leinster and Ireland winger Denis Hickie who has scored a total of 278 points (55 tries and 1 drop goal) in his 111 caps for the province.
Irish international scrum half Guy Easterby, who is three games short of making his 50th appearance for Leinster, is pictured at the press conference in the Wesley Bar at Donnybrook.
Easterby, who will start against the Borders, will be hoping to impress the management with his Australian counterpart Chris Whitaker currently out with a shoulder injury. Having been named in the starting XV, Whitaker was a late withdrawal for the Munster game.
Cheika welcomed the competition for places at half-back, saying: "It's tricky when you have two or three quality players in the one position. That's one of the great qualities about Guy in that he's always looking to play.
"I've no doubts as regards the quality of our players and we have Cillian Willis back in training and he's named in the squad for Friday. We've also got the likes of Matt D'Arcy - who was on the bench last week - and Paul O'Donohoe who has come from the Under-20s. At out-half we have Andy (Dunne) back and the likes of Jonathan Sexton and Ian Keatley who was also involved with the U-20s.
"The likes of Guy and Whits (Whitaker) are working with these blokes in training and Owen Finegan is also helping the likes of Devin (Toner) and Kevin McLaughlin in training. I see this as an important part of our evolution for our next crop of players."
The silhouette of Denis Hickie with the main stand at Donnybrook in the background. After their initial adventures in Europe, Leinster will be back at their old home ground of Donnybrook on Saturday, November 4 for a Magners League encounter with the Dragons (kick-off 7.30pm).
Guy Easterby, who is itching for a prolonged run in the Leinster side, takes part in a TV interview at Donnybrook.
Cheika has chopped and changed his side for the Borders clash, but does not want his three alterations - Reggie Corrigan, Rob Kearney and Luke Fitzgerald are all back in - to be seen as Leinster "being disrespectful" to the Borders.
He admitted: "Shane (Horgan) carried a bit of an injury into the Munster game and Girvan (Dempsey) hurt himself in training so we've given him the week off.
"In no way is that disrespectful to the opposition. These blokes have a long season ahead of them and we have the likes of Kearney and (Kieran) Lewis back and Luke Fitzgerald didn't play that much last weekend."
**All photos by Dan Sheridan of Inpho Photography**