Dollas, a left shooting defenceman and former first round pick (14th overall by the Winnipeg Jets in the 1983 entry draft), had been in his fifth season with the Ducks after stops in Detroit, Quebec, and Winnipeg. HIs time with the Oilers would be brief - 41 games and just over five months - as he'd be traded agin, this time to Pittsburgh along with Tony Hrkac for Josef Beranek after the season ended.
Bannister, the player going the other way in this deal, also had a relatively short stay in Edmonton. Acquired in a trade with the Lightning in March of the previous year, Bannister played one regular season game and 12 playoff games for the Oilers that season and 34 more in 1997/98. In 47 games with the Oilers Bannister failed to score a goal but did get three assists and posted a -13 to go along with 72 penalty minutes.