Wednesday emerged from a challenging run of fixtures before the international break with a healthy points return.
Luhukay's side defeated Aston Villa and Bristol City and picked up home draws to Stoke City, Leeds United and West Bromwich Albion. Their only defeat came at Nottingham Forest.
Victory over the Robins lifted the Owls into the Championship play-off positions going into the break. They resume their league campaign on Friday when they entertain fourth-placed Middlesbrough.
Although Luhukay is encouraged with their recent form, he has warned the team to guard against complacency.
He said: "We have played some of the top teams in the league in Leeds United, WBA and Stoke. We have had a very hard, intensive period. We have not played teams below us.
"The team is balanced. We have good stability but we must keep working. Every game is a new challenge.Â
"The team is feeling positive but we must look to Middlesbrough now."
As far as Luhukay is concerned, there is still plenty of room for improvement. He was unhappy with aspects of their defendingÂ and attacking play in the 2-1 triumphÂ at Bristol City. Wednesday have failed to keep a league clean sheet in 12 attempts this season.
"We want to find a good level of organisation," said Luhukay. "We were organised and disciplined against Bristol City but not in the last consistency of defending. There were too many crosses that came in from the sides into our box.
"The difference between the first and second half was us on the ball. We caused them problems, scored two good goals, and after giving away a stupid penalty, defended really well at the end."