Tottenham's Serbian youngster had looked set for a switch to Leeds United last week.
There was uncertainty about where Veljkovic would be playing this season after he failed to turn out in Tottenham's earlier matches for their development squad.
He missed the Under-21's emphatic 4-1 win over Everton last week, which came amid speculation linking him to the Whites.
Uwe Rosler was reportedly eager to bring the talented defender/midfielder to Elland Road to further strengthen his squad, but only on a one-month deal said the Yorkshire Evening Post.
Not long after the possibility of a loan was mentioned, came new claims from the YEP that a deal may have broken down with the German unable to guarantee Veljkovic the minutes Spurs wanted for the player after his two disappointing spells in the Championship last season.
And since the game against the Toffees on August 10, Spurs have played two further matches at youth level where the Serbian youngster has been involved, seemingly indicating that an immediate switch to Elland Road isn't on the cards, especially after he missed the opener against Everton.
He was firstly involved against Manchester City on Friday in what was a dramatic 3-3 draw, playing the full 90 minutes up in the North-West.
And then on Tuesday afternoon the 19-year-old played a portion of the 4-2 loss to a Barnet Under 20's side, in what was predominantly a very young Spurs team.
That the Londoners were willing to have Veljkovic playing in the age group below where he normally plays suggests that the need is now for the player to build up his fitness ahead of possible bids in the future, but unless Rosler can commit to playing time and an extended loan, that probably won't be at Leeds.