Spurs have won three straight Champions League games to directly progress to the round of 16 and this month held visitors Manchester City to a draw in the Premier League.
But Saturday's 2-0 loss at Manchester United dealt another blow to their English top-flight campaign.
"There's no doubt we are desperate to win games, desperate. And I am focusing on Newcastle United tomorrow, that's a great opportunity ahead of us against a good team," Frank told reporters on Monday.
"Can we go out there and get three points tomorrow ... that's the main focus."
Asked to elaborate on why he felt desperate to win, Frank later pointed to Spurs winning only seven of their 25 matches in the Premier League this season.
"I could have worded it differently, maybe. But it should be that feeling when we haven't won enough," the manager said.
"The way I work, if you haven't won enough then you do everything you can, you do a little bit more, you work a little bit harder. That's the way to get out of a tough moment.
"Of course, we haven't won enough. You need to be desperate. If you are not desperate you don't understand the situation you are in, in terms of you haven't won enough and you need to win football games. That's what we want for the fans, for the team, for the club."
Injured Udogie out for a month
Spurs have been hit by another setback after centre-back Cristian Romero was suspended for being sent off in the loss to United, as defender Destiny Udogie, who was injured on Saturday, has been ruled out for about a month with a hamstring injury.
"Unfortunately, Destiny has a hamstring injury and is out for the next four to five weeks," Frank said.
Although captain Romero will start his four-match ban by missing the Newcastle clash, defender Djed Spence is back after missing nearly two weeks with a calf injury, Frank added.
"So we need the fans tomorrow, massively, to back the team," the Danish coach said. "When you're down to the bare bones with not many players, not that straightforward, then you need to push together."