LAS VEGAS — Despite raving about new center Robin Lopez filling the Knicks’ desperate need for a defensive big man, even comparing him to DeAndre Jordan, Derek Fisher fell well short of predicting a playoff berth or even doubling their win total from last season’s 17-65 disgrace.

Knicks president Phil Jackson also couldn’t muster the P-word, saying the team will be ”very competitive’’ after the club officially announced Thursday its four free-agent signings — Lopez, shooting guard Arron Afflalo, power forward Kyle O’Quinn and 2011 draft bust Derrick Williams.

According to a source, power forward Lance Thomas, as expected, also agreed to terms Thursday on a one-year deal after becoming a nice surprise last season.

Speaking at the Knicks summer league practice, Fisher was less than bold — only willing to guarantee an increase from 17 wins, saying injuries and “chemistry’’ play a role.

Fisher was asked if he thought the Knicks could at least double their 2014-15 win total.

“I don’t think any team can predict how many games they’ll win this coming season at this point,’’ Fisher said. “We feel we’ve added good players. We’re not going to win just 17 games. We feel like we can say that and feel pretty confident about that.’’

The free-agent foursome signed their contracts at the Knicks’ Tarrytown headquarters Thursday and will head to Las Vegas on Friday to hang with the coaching staff. Kristaps Porzingis, picked fourth overall, and point guard Jerian Grant, the 19th pick whom the Knicks obtained in a trade, are also part of the remake.

“We are fortunate to add these four new players to our roster,’’ Jackson said in a press release. “They bring to the team veteran leadership, talent and youth. These men, in addition to our rookies from the NBA Draft, will make for a very competitive team this coming year. We are all looking forward to the season, as we welcome them to the New York Knicks 2015-16 roster.”

Jackson’s 17-65 wreckage — as he feared — cost him the chance of reeling in the big fish. Nevertheless, Fisher said he thinks the Knicks did OK in snaring Lopez (9.6 ppg, 6.7 rpg) despite Jackson’s full-court press on Jordan.

“We needed size up front and we talked a lot about defending and rebounding as areas we had to focus on, and Robin in the middle does that for us,’’ Fisher said. “That’s one of the main reasons we wanted to see if we can sign DeAndre because rebounding was going to be a priority for us. We don’t feel sad we have one of the best centers in the game anchoring the middle of the floor. … We like a lot of what we’ve done.’’

In the ideal scenario, Porzingis, despite concerns he still needs two years to develop, will start at power forward. That could give the Knicks a frontline of Lopez, Porzingis and Carmelo Anthony. But Porzingis already is battling a hip injury. That’s why the Knicks added two power forwards in free agency they expect to play a lot in Williams and O’Quinn.

Signing Williams, who has the same agent as Fisher, was a puzzling move, spending precious cap space (two years, $10 million) on a draft bust. He has been a disappointment with both Minnesota and Sacramento, despite his athleticism. He’s not known for having a high basketball IQ, a reliable 3-point shot or being a prolific rebounder.

Fisher went to great lengths to defend the signing, saying his “versatility is something we’re excited about.’’

“We see where the game is going and how important it is to have guys who can do multiple things,’’ Fisher said.

“A lot is made where guys are drafted and where they should be or shouldn’t be based on the number,’’ Fisher added. “There’s been great players as high as [No.] 2 and as low as 47. We believe Derek is a guy when he’s had the opportunities has shown the potential he does really have. His statistics match out when he plays quality minutes. He played for three coaches in three days it seems in Sacramento. We’re hoping some stability here will be good for him.’’

A secondary scoring option to Anthony seems an issue, especially if Porzingis doesn’t play a lot of minutes. Fisher said he hopes a faster pace will improve the offense.

Afflalo also will need to return to his form from two season ago when he averaged 18.2 ppg, compared with 13.3 last season for the Nuggets and Trail Blazers.

“Arron Afflalo is a pro and one of the hardest-working guys in the league — also another physical guy who can guard multiple players,’’ Fisher said.

With the Thomas agreement and counting Ricky Ledo’s partially guaranteed deal, the Knicks have three open roster spots. The new cap increase reported July 1 gave the Knicks a little more cap room than they expected and the chance Thursday to sign Thomas for more than the minimum contract — one-year, $1.6 million. Thomas, obtained in the J.R. Smith/Iman Shumpert deal, became in Fisher’s eyes a strong addition to the locker room and flashed a surprising mid-range jumper, averaging 8.3 points in 26 minutes.

Fisher said the Knicks may bring back three more guys from last season “to add continuity,’’ but also feels the Knicks could use more “speed’’ at guard and rebounding. Knicks combo guard Alexey Shved and big-men grinders Lou Amundson, Lance Thomas and center Cole Aldridge are in-house candidates. Guards Willie Green, Caron Butler and John Jenkins also are on the radar. The Knicks still have their $2.8 million room exception.