As a youth, Wellman played in the 2001
Quebec International Pee-Wee Hockey Tournament with the San Jose Junior Sharks
minor ice hockey team. A native of
Brentwood, California, while in high school, Wellman played hockey at
Cranbrook Kingswood School in
Bloomfield Hills, Michigan, winning state titles in 2004 and 2006. He then attended the
University of Massachusetts Amherst for two years where he played on the
UMass Minutemen ice hockey team. He was signed to a two-year entry-level contract on March 16, 2010, as a college free-agent. On February 3, 2012, Wellman was traded to the
New York Rangers for center
Erik Christensen and a conditional 7th round draft pick in 2013. He spent the remainder of the 2011–12 season with the Whale, but after Connecticut was eliminated from the AHL playoffs, Wellman was added to the Rangers' playoff roster. On July 20, 2012, Wellman was traded to the
Florida Panthers in exchange for a 2014 5th round draft pick. He started the
2012–13 season with AHL affiliate, the
San Antonio Rampage before he was traded by the Panthers to the
Washington Capitals in exchange for forward
Zach Hamill on January 31, 2013. Wellman was called up to the Capitals on December 17, 2013. He was reassigned to the AHL
Hershey Bears on December 23, 2013. He was recalled a second time to the
Washington Capitals on January 24, 2014 in time to play with the Capitals as they faced Montreal. Wellman scored a goal off of an assist from Capitals captain Alex Ovechkin in the second period and helped the team end a seven-game losing streak. On June 4, 2015,
HC Spartak Moscow of the
KHL announced that it has signed Wellman. He saw the ice in 40 games, tallying eight goals and eight assists for Spartak. Upon the conclusion of the 2015–16 season, Wellman moved on to Sweden, penning a one-year deal with
SHL side
Frölunda HC on May 30, 2016. After two seasons in the
National League with Swiss club,
SC Rapperswil-Jona Lakers, Wellman returned to the KHL in signing a one-year contract with Chinese based,
HC Kunlun Red Star, on September 16, 2020. With Kunlun later stationed in Russia for the duration of the
2020–21 season due to logistics surrounding the
COVID-19 pandemic, Wellman contributed with 13 points through 31 regular season games. Wellman left the KHL as a free agent and was signed to a two-year contract with Finnish club, Oulun Kärpät of the Liiga, on May 28, 2021. ==Family==