Novak Djokovic shook off the rust to beat Cedrik-Marcel Stebe 6-4, 6-2 at the Dubai Tennis Championships Monday in his first match since winning the Australian Open. Sixth-seeded Mardy Fish also had an easy time against Andreas Beck of Germany, winning 6-1, 6-1 to join Djokovic in the second round. In other matches Lukas Lacko of Slovakia beat Sergey Bubka Jr. of Ukraine 2-6, 6-2, 7-6 (14); and Lukas Rosol of the Czech Republic beat Adrian Mannarino of France 6-2, 6-2. The top-ranked Djokovic has not played a match in nearly four weeks and it showed at times. He broke the 72nd-ranked German to go up 1-0 but had to save two break points in the fourth game as he struggled with Stebe's return game. Stebe pushed the set to 5-4 and deuce before Djokovic hit his first ace and another good serve which the German returned long. Djokovic had an easier second set, breaking twice. He won the match with his third ace of the match and another serve that Stebe couldn't return. “He definitely played well. I was impressed with his game, especially in the first set,” Djokovic said of Stebe, who moved up nearly 300 ranking places in 2011 and took Lleyton Hewitt to four sets at the Australian Open last month. “He was hanging in there. I thought I served well when I needed to,” Djokovic continued. “It could have gone a different way really, because he was returning well. He was very aggressive on the baseline. You could feel that even though he's young and doesn't have much experience playing on the big stage, he really didn't care much.” Djokovic, going for a fourth consecutive Dubai title, is now 8-0 this year after beating Stebe. He insisted that he was not concerned with matching his exploits in 2011, in which he won three Grand Slams and started the season with a 41-match winning streak. “Well, you know, people talk about that obviously, and I'm expecting that. But to be honest, I'm not really comparing 2012 with 2011,” Djokovic said. “I want to have this positive mindset on the court that is going to kind of keep me away from unnecessary pressure that I already have as No. 1 in the world and as a top player, somebody that's expected to win in most of the matches. “The last year was amazing. Definitely best year of my career. If you ask me if I can repeat it, I don't know. It's going to be very, very hard obviously.” A few hours before his match, Djokovic was courtside as his younger brother Marko lost his match to Andrey Golubev of Kazakhstan 6-3, 6-2. The 869th-ranked Djokovic was granted a wild card into the tournament. Djokovic serves as a mentor of sorts for the 20-year-old Marko and said it was hard to see his brother struggling, admitting that can difficult for Marko and his other tennis-playing brother 16-year-old Djordje to always be compared to him. Fish, meanwhile, broke Beck twice in the first set to lead 4-0. In the second, he broke three times before closing it out in 57 minutes. The American has had a mixed year so far, crashing out in the second round of the Australian Open and losing to 388th-ranked Albano Olivetti in the Marseille quarterfinals last week. He did, however, help the US rout Switzerland 5-0 in the Davis Cup. “Obviously it's nice to get through quickly early in the tournaments, but it gets tough from here on out for sure,” Fish said. “ I've never played him (Beck) before. I assume he's played better matches for sure. But these courts suit me very well.”