Johansson has twice been in the fourth round at Wimbledon and knows his way around on grass.
Boris Becker was two sets down before putting him out of Wimbledon in 1996 and Pat Rafter did so in four sets last year.
In the other semi-final, 18-year-old American Andy Roddick faces unseeded Harel Levy of Israel.
Meanwhile, Sweden's Magnus Norman and Nicolas Lapentti of Ecuador were added to the list of Wimbledon withdrawals.
Norman, the 18th seed, has hip problems, 30th seed Lapentti is sidelined with an elbow injury, while Slovakia's Karol Kucera has also been forced out with an arm injury.
