I don't have anything for this season, but Mohamed Salah scored the most goals in the Premier League in his first 38 matches in 2024-25, with 29 goals.

most goals in the first 38 appearances by a player this season

	NAME	G	M	MIN	START	G/M	A	G+A	PK	SH	SOT	WOOD	TCH	TCH-BOX	OFF
1	Mohamed Salah M. Salah	29	38	3,380	38	0.76	18	47	9	130	61	6	1,856	393	18
2	Bryan Mbeumo B. Mbeumo	20	38	3,417	38	0.53	7	27	5	85	41	1	1,913	179	11
3	Ollie Watkins O. Watkins	16	38	2,611	31	0.42	8	24	2	84	40	2	786	179	16
4	Raúl Jiménez R. Jiménez	12	38	2,507	30	0.32	3	15	3	96	33	2	1,111	170	15
5	Kevin Schade K. Schade	11	38	2,301	26	0.29	2	13	0	55	27	3	971	158	13
6	Alex Iwobi A. Iwobi	9	38	2,998	35	0.24	6	15	0	68	29	2	1,981	117	5
7	Ismaïla Sarr I. Sarr	8	38	2,721	30	0.21	6	14	0	59	29	2	1,190	142	11
8	Leandro Trossard L. Trossard	8	38	2,549	28	0.21	7	15	0	72	22	1	1,400	163	6
9	Anthony Elanga A. Elanga	6	38	2,510	31	0.16	11	17	0	44	24	1	1,216	119	18
10	Bruno Guimarães B. Guimarães	5	38	3,288	38	0.13	6	11	0	45	15	1	2,423	90	2
11	Nathan Collins N. Collins	2	38	3,420	38	0.05	3	5	0	17	6	0	2,510	71	6
12	Mikkel Damsgaard M. Damsgaard	2	38	2,930	34	0.05	10	12	0	35	7	0	2,040	79	6
13	Milos Kerkez M. Kerkez	2	38	3,342	38	0.05	5	7	0	19	5	1	2,292	72	3
14	Moisés Caicedo M. Caicedo	1	38	3,356	38	0.03	2	3	0	20	3	1	2,721	16	0
15	Keane Lewis-Potter K. Lewis-Potter	1	38	3,100	36	0.03	3	4	0	28	14	1	1,710	71	4