In early lactation, dairy goats undergo changes in rumen fermentation that can impair milk fat synthesis, due mainly to high levels of dietary concentrates. This study was undertaken to compare the potential of dietary lipid supplements of different fatty acid (FA) compositions to affect milk performance when early lactation dairy goats are fed a high-concentrate diet. Thirty Alpine goats were enrolled at kidding, housed in pens with Calan gate feeders, and received a total mixed ration with a forage-to-concentrate (F:C) ratio of 55:45 on a dry matter (DM) basis. On the last 4 d of this 23 ± 5 d pretreatment period, data and samples were collected and used as covariates. Goats were then allocated to 1 of 10 blocks according to milk fat concentration. During a period of 41 d, goats received: CTL) a basal diet with a F:C ratio of 45:55; PALM) CTL + 2% (DM basis) of a by-product of palm oil industry, as a source of 16:0; FLAX) CTL + 7% of extruded linseed, as a source of 18:3 n-3. Collection periods were carried out on d 7 to 10, 17 to 20 and 38 to 41. Because no differences were observed between the last 2 collection periods, data were combined, and treatment effects were compared with the Tukey adjustment for multiple pairwise comparisons. As expected, in CTL group, feeding the high-concentrate diet reduced milk fat concentration by 19% as compared with pretreatment period (P < 0.01). Dry matter intake (3.37 kg/d; P = 0.53) and milk yield (4.82 kg/d; P = 0.22) were not different between treatments. As compared with CTL, goats fed PALM or FLAX had a greater milk fat concentration (3.92^a and 3.90^a vs. 3.60^b %). Milk fat from goats receiving PALM had a greater concentration in 16:0 (29.8^a %) as compared with CTL (26.7^b %) and FLAX (21.5^c %), whereas a greater concentration of 18:3 n-3 was observed when goats were fed FLAX (1.22^a %) as compared with CTL (0.73^b %) and PALM (0.66^b %). Results indicate that feeding lipid supplement increases milk fat concentration and that milk fat composition is affected according to the FA profile of the lipid supplement.