The central Asian nation hold a slight advantage, after their 1-1 draw away in Amman in their Brazil 2014 qualifying play-off.
They are bidding to get into a winner-takes-all play-off against South American opposition, from which the victor earns a place at the world finals.
"We achieved the minimum goal and now I believe we will do our job in Tashkent and qualify for the next round," said Kasimov.
"It will be decided in Tashkent, but with our supporters we will play for them and I believe we will qualify.
"We weren't surprised by Jordan as we felt like we knew a lot about them - they have good quality players but I still believe we will do what we need to in Tashkent."
Jordan coach Hossam Hassan has told his players the tie if far from over and hoped a message from Jordan Football Association president Prince Ali Bin-Al Hussein would help motivate his squad.
"Immediately after the whistle [in the first leg], we talked to the players and quoted them a message from Prince Ali Bin-Al Hussein," he said on the Asian Football Confederation website.
"We spoke of the need to adhere to the opportunity and we tried to lift their spirits and asked them to focus on the second leg in Tashkent. "It is still half-time."