The west Asian nation, who won the rights to host the 2022 World Cup, have drawn their past three games heading into the midweek fixture at Abdullah bin Khalifa Stadium in Doha.
Qatar - 92nd in the FIFA rankings - played out a goalless draw in Morocco on Thursday, having shared the spoils with Indonesia and Macedonia previously.
Algerian coach Djamel Belmadi was pleased with the performance of his players against more-fancied opposition as Qatar - back on home soil - step up preparations for November's Gulf Cup of Nations as well as January's AFC Asian Cup in Australia.
"Despite the good qualities of the Moroccan team, our players were to the task and their performance was really good," said Belmadi.
"It is with such games against strong opponents we could move forward and improve our level both individually and collectively."
"On the technical side, it was a good warm-up match. We knew it was not going to be easy against the Moroccan team, but we were well prepared, we were well represented and we were more dangerous."
Sergio Markarian resigned in October after he was unable to guide the South Americans to the finals, leading to Pablo Bengoechea's appointment.
"First, we face a team of low level. I prefer to play against top competition thousand times, no matter the outcome," said the 63-year-old.
"In matches with Switzerland and England we draw further conclusions."
