Inclusion Criteria:  Meets classification criteria for primary Sjogren's syndrome (pSS) by the 2016 American College of Rheumatology (ACR) / European League Against Rheumatism (EULAR) within 5 years but at least 6 months prior to screening At screening is seropositive for antibodies to pSS-associated antigen A (60 kilodalton [kDa] Ro/Sjogren's syndrome-related antigen A [SSA]) Total Clinical European League Against Rheumatism Sjogren's Syndrome Disease Activity Index (clinESSDAI) score greater than or equal to (>=) 6 and less than or equal to (<=) 13 At least low activity as defined in the biological domain of European League Against Rheumatism (EULAR) and in at least low activity in at least one of the following ESSDAI domains: cutaneous, articular, glandular, constitutional, hematologic, and lymphadenopathy It is recommended that participants are up to date on all age-appropriate vaccinations prior to screening as per routine local medical guidelines. For study participants who received locally-approved (and including emergency use-authorized) coronavirus disease 2019 (COVID-19) vaccines recently prior to study entry, applicable local vaccine labelling, guidelines, and standards-of-care for participants receiving immune-targeted therapy will be followed when determining an appropriate interval between vaccination and study enrollment.  Exclusion Criteria:  Has any confirmed or suspected clinical immunodeficiency syndrome not related to treatment of his/her pSS or has a family history of congenital or hereditary immunodeficiency unless confirmed absent in the participant Comorbidities (for example, asthma, chronic obstructive pulmonary disease) which have required 3 or more courses of systemic glucocorticoids within the previous 12 months Has any unstable or progressive manifestation of pSS that is likely to warrant escalation in therapy beyond permitted background medications and/or has severely active pSS (clinESSDAI score greater than [>] 13) Has received oral cyclophosphamide within 3 months or intravenous (IV) cyclophosphamide within 6 months prior to first administration of study intervention Has Sjogren's syndrome overlap syndromes where another confirmed autoimmune rheumatic or systemic inflammatory condition (for example, rheumatoid arthritis [RA], systemic lupus erythematosus [SLE], scleroderma, inflammatory bowel disease [IBD]) is the primary diagnosis or has clinical manifestations that, in the opinion of the investigator, are likely to interfere with the investigator's ability to assess pSS manifestations