Alypov first appeared internationally in January 2002 at the World Junior Championships in Schonach. There he finished 19th in the 30 km mass start race and fourth in the sprint. The following year, he won gold in the 30 km mass start race at the 2003 Winter Universiade in Tarvisio. He also finished tenth in the sprint and 20th in the 10 km classic technique. He ran his first World Cup race at the beginning of the 2003/04 season in Düsseldorf, which he finished in 49th place in the sprint. Later in the season, he first won his first World Cup points with 17th place in the skiathlon in Falun and achieved his first World Cup podium finishes in Otepää with third place in the 30 km mass start race and with the relay. In February 2004, he made the podium again with second place in the team sprint in Oberstdorf together with Vasily Rochev and achieved another top ten finish in the World Cup individual with eighth place in the sprint in Trondheim. At the end of the season he finished 41st in the overall World Cup. At the beginning of the following season he took his only World Cup victory in the team sprint in Bern together with Vasily Rochev. His best result of the season in the World Cup individual was 12th place in the sprint in Nové Město. At the 2005 Nordic World Ski Championships in Oberstdorf, he took 34th place in the sprint and eighth place in the team sprint. He did not finish the 50 kilometre race. In the 2005/06 season, he finished in the points in the World Cup individual 12 times. His best result was sixth place in the 15 km freestyle in Canmore. In January 2006 he became Russian Champion over 50 km. At the season’s highlight, the 2006 Winter Olympics in Turin, he won the bronze medal in the team sprint together with Vasily Rochev. He also finished 28th in the sprint and sixth in the relay. He finished the season in 35th place in the overall World Cup. In the following season, he mostly achieved placements in the midfield in the World Cup. At the Tour de Ski 2006/07 he finished 29th. He finished second in the 30 km mass start race in Cavalese. At the 2007 Nordic World Ski Championships in Sapporo, he finished 39th in the 50 km mass start race. After two starts in the World Cup, which he finished outside the points, at the beginning of the 2007/08 season he started for the first time in the Eastern Europe Cup in Krasnogorsk and finished 43rd in the 15 km classic. Later in the season, he claimed his first Eastern Europe Cup win in the Rybinsk skiathlon and finished 17th overall at the end of the season. In the following season, he finished in the points four times in the World Cup. In February 2009, he finished third in the Eastern Europe Cup in Rybinsk over 15 km classic. At the beginning of the 2009/10 season he won the Eastern Europe Cup in Vershina Tjoi over 15 km freestyle and in sprint. He finished third in the 10 km classic. This was followed by another victory in Krasnogorsk. At the 2010 Tour de Ski he was suspended for 14 days due to conspicuously high blood values. At the end of the season he won the overall ranking of the Eastern Europe Cup. In the following years until his last active season in 2013/14 he competed mainly in the Eastern Europe Cup. Most of the time he finished outside the points.