Both players will be free agents at the end of the 2018 season.
Britton, who who is recovering from surgery to fix a torn right Achilles tendon, reached agreement for a $12 million salary this season. However, the two sides were able to find common ground. Schoop agreed a year ago to a $3.475 million contract, but after a Most Valuable Oriole season in 2017 the second baseman will more than double his salary.
Several teams were reportedly trying to trade for Machado during the Winter Meetings, though Arizona wasn't named among the teams trying to make a deal.
A three-time All-Star and two-time Gold Glove victor, Machado was the most intriguing name floating around the hot stove because he's capable of turning a good team into instant contenders.
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Last year Machado earned a base salary of $11.5 million. In 2016, he had a 0.54 ERA and converted all 47 of his save opportunities.
Baltimore also agreed to terms on a one-year deal with right-handed reliever Brad Brach worth $5.165 million, according to a report from MASN Sports.
This is the second consecutive year that Gausman and the Orioles didn't agree on a contract before the filing date, but they ultimately decided on a $3.45 million deal before a hearing in 2017. Brach, 31, had a 3.18 ERA while picking up in 18 saves in place of Britton last season. The 27-year-old former No. 1 draft pick hit.306 with 10 home runs and 26 RBIs in 50 games with the O's after being acquired from the Tampa Bay Rays ahead of last year's trade deadline.
Bryant could break the record for highest salary among players eligible for arbitration for the first time, a mark set when first baseman Ryan Howard was awarded a raise from $900,000 to $10 million by a three-person panel in 2008 instead of Philadelphia's $7 million offer.