Head coach Luke Richardson said Wednesday that Jones (foot) is expected to miss approximately four weeks, Charlie Roumeliotis of WGN Radio reports.
Jones (foot) was placed on injured reserve Saturday, per the NHL media site.
Jones recorded an assist, two hits and three blocked shots in Saturday's 4-3 shootout win over the Kings.
Jones scored twice on four shots, added two hits and went plus-2 in Saturday's 5-4 overtime win over the Sharks.
Jones recorded a pair of assists in Wednesday's 6-2 loss to Seattle.
Jones scored a goal and registered an assist in Friday's 4-3 overtime win against the Islanders.
Jones and the Blackhawks' game against the Sabres on Wednesday has been postponed to Thursday due to weather-related travel restrictions.
Jones (shoulder) will be activated from injured reserve ahead of his return to the lineup Saturday against Dallas, per Charlie Roumeliotis of NBC Sports Chicago.
Jones (shoulder) took part in Friday's practice and hopes to return Saturday versus Dallas if the morning skate goes well, per Charlie Roumeliotis of NBC Sports Chicago.
Jones (shoulder) still needs to practice, but coach Luke Richardson is hoping the defender will be ready to return to game action "within the week," Scott Powers of The Athletic reports.