diff --git a/DESCRIPTION b/DESCRIPTION
index 7f3e4c316..15ffad606 100644
--- a/DESCRIPTION
+++ b/DESCRIPTION
@@ -75,5 +75,5 @@ Config/testthat/start-first: build-article, build-quarto-article,
 Config/usethis/last-upkeep: 2025-09-07
 Encoding: UTF-8
 Roxygen: list(markdown = TRUE)
-RoxygenNote: 7.3.3
+RoxygenNote: 7.3.3.9000
 SystemRequirements: pandoc (>= 2.10.1)
diff --git a/NAMESPACE b/NAMESPACE
index 853ed814f..658772940 100644
--- a/NAMESPACE
+++ b/NAMESPACE
@@ -132,6 +132,7 @@ export(deploy_site_github)
 export(deploy_to_branch)
 export(fig_settings)
 export(in_pkgdown)
+export(in_pkgdown_pkg)
 export(init_site)
 export(pkgdown_print)
 export(pkgdown_sitrep)
diff --git a/NEWS.md b/NEWS.md
index 29315dae5..2d97f127c 100644
--- a/NEWS.md
+++ b/NEWS.md
@@ -2,6 +2,10 @@
 
 * do not autolink code that is in a link (href) in Rd files (#2972)
 
+* New `in_pkgdown_pkg()` function and new `IN_PKGDOWN_PKG` variable, to go with 
+  `in_pkgdown()` and `IN_PKGDOWN`. Returns/contains the name of the package
+  whose site is being built (#2976). 
+
 # pkgdown 2.2.0
 
 * Make `build_llm_docs()` more robust to the use of old Pandoc (@nanxstats, @galachad, #2952, #2954)
diff --git a/R/pkgdown.R b/R/pkgdown.R
index d61a3cecf..311b19e2e 100644
--- a/R/pkgdown.R
+++ b/R/pkgdown.R
@@ -10,9 +10,19 @@ in_pkgdown <- function() {
   identical(Sys.getenv("IN_PKGDOWN"), "true")
 }
 
+#' @rdname in_pkgdown
+#' @param pkg Package name (a string)
+#' @export
+#' @examples
+#' in_pkgdown_pkg("pkgdown")
+in_pkgdown_pkg <- function(pkg) {
+  identical(Sys.getenv("IN_PKGDOWN_PKG"), pkg)
+}
+
 local_envvar_pkgdown <- function(pkg, scope = parent.frame()) {
   withr::local_envvar(
     IN_PKGDOWN = "true",
+    IN_PKGDOWN_PKG = pkg$package,
     LANGUAGE = pkg$lang,
     .local_envir = scope
   )
diff --git a/man/in_pkgdown.Rd b/man/in_pkgdown.Rd
index a1e8b8831..e259dd469 100644
--- a/man/in_pkgdown.Rd
+++ b/man/in_pkgdown.Rd
@@ -2,9 +2,15 @@
 % Please edit documentation in R/pkgdown.R
 \name{in_pkgdown}
 \alias{in_pkgdown}
+\alias{in_pkgdown_pkg}
 \title{Determine if code is executed by pkgdown}
 \usage{
 in_pkgdown()
+
+in_pkgdown_pkg(pkg)
+}
+\arguments{
+\item{pkg}{Package name (a string)}
 }
 \description{
 This is occasionally useful when you need different behaviour by
@@ -12,4 +18,5 @@ pkgdown and regular documentation.
 }
 \examples{
 in_pkgdown()
+in_pkgdown_pkg("pkgdown")
 }
diff --git a/tests/testthat/test-pkgdown.R b/tests/testthat/test-pkgdown.R
new file mode 100644
index 000000000..e2849332f
--- /dev/null
+++ b/tests/testthat/test-pkgdown.R
@@ -0,0 +1,11 @@
+test_that("in_pkgdown_pkg() works", {
+  expect_false(in_pkgdown())
+  expect_false(in_pkgdown_pkg("testpackage"))
+
+  pkg <- local_pkgdown_site()
+  local_envvar_pkgdown(pkg)
+
+  expect_true(in_pkgdown())
+  expect_false(in_pkgdown_pkg("pkgdown"))
+  expect_true(in_pkgdown_pkg("testpackage"))
+})