Camilo Soto-coached Qatar lost narrowly to South Korea in their final pool match.
The second straight victory all but ensures Qatar’s berth in the semifinals.
Camilo Soto-coached Qatar will take on Australia in their next match on Wednesday.
The winner of the eight-team tournament will book their berth at Tokyo Olympics.
Al Arabi lead the standings with 25 points while Police are second on 20.
The Asian qualifiers will be held in China from January 7 to 12.
Al Shamal defeated Al Sadd in another match.
Eight teams compete in the event at Jiangmen Sports Center Gymnasium, China from January 7 to 12 for a lone ticket for Tokyo Olympics.
Rayyan coach Carlos Eduardo Schwank was happy with the win but wanted the team to maintain the momentum.
In their final placement match, Qatar defeated Kazakhstan to finish ninth.
Qatar had failed to progress into the last eight but they were impressive on Tuesday to secure deserving victory.
The win helped Qatar take third place in Group A.
India upset Kazakhstan in a Pool C match.
Qatar lost to India in a friendly match at Qatar Volleyball Association Hall on Monday.
The team is preparing for the Asian Championship to be held in Tehran, Iran, from September 11 to 22.