Latvian teenager Ernests Gulbis showed impressive maturity to move serenely into the fourth round with a convincing straight-sets victory over Nicolas Lapentti.
Fifth-seeded Henman had sparkled all week in the hardcourt desert event, cruising past Stefan Koubek, Byron Black and Niclas Lapentti before dismissing semi-finalist Alberto Costa.
World No. 1 Roger Federer begins his bid for a record-equaling 17th Masters 1000 tournament victory against Ecuador's Nicolas Lapentti on Saturday, while third seed and defending champion Andy Murray takes on American Mardy Fish.
Johansson led by two sets to one but his game crumbled after losing a fourth set tiebreak and Lapentti, the world number 90, raced through the decider to win 6-3 3-6 3-6 7-6 (7-4) 7-0.
Later on Saturday, world No. 1 Roger Federer begins his bid for a record-equaling 17th Masters 1000 tournament victory against Ecuador's Nicolas Lapentti, who made it into the main draw as a lucky loser in qualifying.