The Dolphins have been working on a long-term deal with Soliai, who at the very least will get a one-year contract worth roughly $12.5 million.
That would be a 25-fold increase over Soliai's $467,000 salary in 2010, when the 6-foot-4, 355-pound nose tackle emerged as a run-stopper after three disappointing seasons.
Soliai is expected to sign his tender by the end of the week, according to a league source.
"We want to be here. We've said it day in and day out. We want to be here," Canter said. "As long as everything works out and there's a new CBA, we can negotiate in good faith without the limitations of the 30 percent rule.