Former Slovenia captain Milanic oversaw his first game in charge of the Whites on Saturday, but failed to record a win, going down 2-0 at Brentford.
The performance was less than inspiring, and it appeared as if a number of backward steps had been taken from the reign of caretaker coach Neil Redfearn, who won three of four games during a short spell in charge.
Brentford should have added to their lead, but a missed penalty and some inspired goalkeeping for Whites stopper Marco Silvestri prevented the result becoming embarrassing.
However, few negatives should be taken from the game, with Milanic thrust into an away game having never experienced English football previously in his career. He faces his first home game on Wednesday night, as Leeds host Reading at Elland Road, with the Royals in the midst of an injury crisis.
It offers Milanic a chance to impress on his home debut, before facing a second home tie in three days with the visit of Sheffield Wednesday on Saturday afternoon. And club legend Eddie Gray, who was a key part of the most successful Leeds side in history, wrote in his column for the Yorkshire Evening Post that having strong form will be a great basis for Milanic to kickstart his career in charge of the Yorkshire-based club.
The 66-year-old former winger said: "They are two very important games this week – especially as they are home games – and there’s no reason in this league why you can’t win them.
"It’s such a topsy-turvy league and you’d like to think we can win the home games and what you’ve got to remember is that we’ve taken ten points out of 15.
"I know getting beat on Saturday put us back a bit but that’s still not bad if you win your home games.
"If we win our next two home games you are looking at it from the point of view that we have taken 16 points out of 21.
"Then you are happy again and I think everybody has got to give the new head coach time.”
Leeds currently sit six points off the play-offs at this early stage of the season, and a strong run of form at the early stage of Milanic’s career at Elland Road will highlight his intentions to return the club to the Premier League as soon as possible. Despite it not being vital to sit near the top of the table so early in the Championship campaign, it will certainly return a sense of hope to Elland Road that has been sadly vacant for a number of seasons.